876 resultados para Almost Convergence
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We propose a novel control scheme for bilateral teleoperation of n degree-of-freedom (DOF) nonlinear robotic systems with time-varying communication delay. A major contribution from this work lies in the demonstration that the structure of a state convergence algorithm can be also applied to nth-order nonlinear teleoperation systems. By choosing a Lyapunov Krasovskii functional, we show that the local-remote teleoperation system is asymptotically stable. The time delay of communication channel is assumed to be unknown and randomly time varying, but the upper bounds of the delay interval and the derivative of the delay are assumed to be known.
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In this work, the influence of the surrounding fluid on the dynamic characteristics of almost circular plates is investigated. First the natural frequencies and normal modes for the plates in vacuum are calculated by a perturbation procedure. The method is applied for the case of elliptical plates with a low value of eccentricity. The results are compared with other available methods for this type of plates with good agreement. Next, the effect of the fluid is considered. The normal modes of the plate in vacuum are used as a base to express the vibration mode of the coupled plate-fluid system. By applying the Hankel transformation the nondimensional added virtual mass 2 increment (NAVMI) are calculated for elliptical plates. Results of the NAVMI factors and the effect of the fluid on the natural frequencies are given and it is shown that when the eccentricity of the plate is reduced to zero (circular plate) the known results of the natural frequencies for circular plates surrounded by liquid are recovered.
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The aim of this paper is to present the experience of using lecture recordings to support curriculum changes within the framework of the European convergence process, mainly courses that need to be promoted or discontinued. We will explain an integrated solution for recording lectures consisting of a web portal, a videoconferencing tool and an economical and easily transportable kit. The validation process was performed recording three different courses at the Universidad Politécnica of Madrid (UPM) and using different diffusion channels, such as Moodle, an open source web portal called GlobalPlaza that supports streaming and recordings and the YouTube UPM channel. To assess the efficiency of our solution, a formal evaluation was conducted and will be also presented in this paper. The results show that lecture recordings allow teachers to support discontinued and new courses and enable students from remote areas to participate in international educational programmes, also the resulting recordings will be used as learning objects for future virtual courses.
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Cuando se trata de Rem Koolhaas, su espejo no refleja una sola imagen sino múltiples, es un prisma poliédrico. Su espejo nos devuelve el Rem mediático, el intelectual, el conceptualizador, el constructor, el analista, el periodista, el actor... En el caso de esta investigación, fijamos el punto de mira en el Rem COMUNICADOR. “Rem a los dos lados del espejo” se enmarca en una investigación sobre los medios de comunicación de arquitectura, su reflejo en la producción arquitectónica y viceversa. Se trata de llegar a discernir si comunicación y producción arquitectónica colisionan y confluyen en el caso de grandes comunicadores como Rem Koolhaas, si el mensaje y el medio transmisor adquieren las mismas cualidades. Centrándose en la figura de Rem Koolhaas, la tesis aborda la evolución de su faceta comunicativa y las transformaciones sucesivas en el campo de la comunicación arquitectónica, en paralelo a su evolución conceptual a lo largo de su trayectoria. La investigación, por tanto, no se centra tanto en su componente teórica o en la práctica arquitectónica de OMA, sino en la exposición de su producción al mundo, especialmente a través de sus ensayos y libros. “Delirious New York” y “SMLXL” son un reflejo del momento conceptual en que se inscriben, y contienen mucha información sobre los referentes gráficos que irremediablemente han influido en su composición. Especialmente, la aparición de “SMLXL” supuso un revulsivo para el mundo de la comunicación arquitectónica, porque puso el foco sobre la importancia de dejar atrás un discurso narrativo linea y unifocal, para afrontar la comunicación barajando múltiples variables, y aproximaciones, en un proceso similar al desarrollo de un proyecto de arquitectura. Presenta un diseño muy novedoso y una edición extremadamente cuidada, que atiende a parámetros mucho más ambiciosos que los meramente narrativos. Profundiza en la necesidad de una temática global, planteando cuál es la aproximación más apropiada para cada uno de los proyectos que describe, transmitiendo al lector una percepción más allá de lo estrictamente visual, más próximo a lo sensorial. Además, su enorme repercusión a nivel internacional y el gran interés que despertó (no solamente entre los arquitectos, sino también entre diseñadores gráficos, publicistas, personas provenientes de todo tipo de tendencias artísticas y público en general), provocó la globalización del fenómeno de las publicaciones arquitectónicas y puso de manifiesto la importancia de la comunicación como una disciplina en sí misma, dentro de la producción arquitectónica en la era actual. A pesar de la importancia de “SMLXL” a todos los niveles, la presente tesis plantea que, donde realmente se culmina esa experiencia comunicativa, es en “Content”, al incluir nuevos parámetros relacionados con la fusión conceptual de continente y contenido. Es en esta publicación donde el objeto de la comunicación y la expresión de la misma se convierten en un único elemento, que se rige por leyes similares. En este caso, la ley fundamental es la aplicación hasta sus máximas consecuencias de la “cultura de la congestión”, tanto en el mensaje como en el medio, generando lo que hemos convenido en denominar “comunicación congestiva”. Esta concepción deviene en que necesariamente se materialice como un producto efímero, desechable, casi virtual, porque responde a las condiciones de un momento muy concreto y específico y fuera de ese contexto pierde su significación.. La “cultura de la congestión” empieza a surgir en los planteamientos de Koolhaas en la Architectural Association School of Architecture de Londres, bajo la tutela de Elia Zenghelis. Posteriormente se desarrolla en su manifiesto retroactivo sobre Manhattan, “Delirious New York”, donde declara la guerra abierta al urbanismo del movimiento moderno y afirma que la ciudad realmente contemporánea es aquella que es fruto de un desarrollo no planificado, hiperdensa y posible gracias a los avances tecnológicos de su era. Finalmente comienza a materializarse en la Diploma Unit 9 de la AA, donde entra como profesor en 1975, dejando una huella indeleble en las generaciones posteriores de arquitectos que pasaron dicha unidad. Rem Koolhaas es ante todo un intelectual y por ello, todo el constructo teórico sobre la metrópolis comienza a reflejarse en su obra a través de OMA desde el comienzo de su producción. Podemos decir a grandes rasgos que su carrera está marcada por dos hitos históricos fundamentales que determinan tres etapas diferenciadas en su producción. En sus primeros años de profesión, Koolhaas sigue fascinado por la metrópolis urbana y la aplicación del método paranoico crítico a su producción arquitectónica. Es un arquitecto profundamente surrealista. Entiende este método como una estrategia de conocimiento y aproximación al mundo que le rodea: “dejar salir el inconsciente pero sostenerlo con las muletas de la racionalidad”. Pero lo que en realidad le interesa es su aplicación a la gran escala, el “Bigness”, y por ello, participa en proyectos muy ambiciosos de los que surgen conceptos que, más allá de resultar premiados o no, han dejado una huella ideológica en el devenir de la arquitectura. Entre estos proyectos, cabe destacar su propuesta para el Parque de la Villette o la Très Grande Bibliotèque de París. Sus proyectos de esta época destilan una gran carga conceptual, que devienen en unos interiores sorprendentes pero una apariencia exterior sobria o incluso podríamos decir "povera", por el uso de materiales efímeros, poco habituales en la macro-arquitectura hasta ese momento. Súbitamente, en 1997, explotó el denominado “Efecto Bilbao”, de la mano de Frank Gehry (1). El Museo Guggenheim de Bilbao, con su espectacularidad, sus formas pregnantes e imposibles, impacta al mundo. Nace la era de la “Arquitectura del Espectáculo”; la transformación de la ciudad a través de ICONOS que actúen como nodos de atracción y concentración en torno a los cuales supuestamente se revitaliza la actividad económica, cultural y sociopolítica de la ciudad, como si a través de un único gesto se pudieran regenerar todos los tejidos internos de la urbe. Rem Koolhaas comprende rápidamente que la aproximación a la ciudad ha cambiado y, sobre todo, el mercado. En el mundo de la globalización, la única manera de llegar a materializar el “Bigness”, es encerrando sus ejercicios intelectuales en formas pregnantes, bellas, icónicas, espectaculares. Koolhaas encuentra su marca personal en la estética “Stealth”, proveniente de los aviones de combate facetados para evitar los radares, elaborados en los años 80. De esta época surgen proyectos como la Casa da Música de Oporto o la Biblioteca de Seattle; ambos edificios son iconos facetados, de belleza pregnante, que dejan una huella indeleble en la ciudad y provocan, al igual que el Guggenheim, un cierto efecto de recuperación y revitalización en el entorno en que se asientan, al menos de manera temporal. En cualquier caso, Koolhaas nunca abandona los ejercicios meramente teóricos, pero segrega su actividad en dos: OMA produce aquello que tiene vocación de ser construido y se rige por los parámetros del mercado global y AMO, la otra cara del espejo de Rem, aplica el pensamiento arquitectónico a campos no explorados, sin la dependencia de agentes externos, pudiendo permitirse ser un laboratorio puramente experimental. En este escenario, llega el 11 de septiembre de 2001 y el ataque a las Torres Gemelas de Nueva York tiene efectos devastadores a todos los niveles, significando, en un período de tiempo sorprendentemente corto, un cambio en el orden mundial. Rem Koolhaas da entonces un giro de 180 grados, dirige su mirada hacia China, donde entiende que sus aportaciones tienen un beneficio social más directo que en occidente. (2) Para presentar al mundo su nuevo cambio de rumbo y la creación del “Think Tank” AMO, plantea una gran exposición en la NeueGallerie de Berlín bajo el título de “Content”, experiencia paralela a la edición del libro con el mismo título, que inicialmente nace como “catálogo de la exposición, pero que internamente siempre se concibió como el documento más trascendente en el estudio desde “SMLXL”. Sin embargo, en muchos aspectos se trata de su opuesto: una publicación con formato revista, de tapa blanda, con paginado muy fino, formato de "folleto de supermercado" y contenido hiperdenso. Es un experimento efímero, fugaz, ligero, barato, de “usar y tirar”. De hecho, está fuera de stock, ya no se edita. Probablemente Rem Koolhaas desaprobaría que se hiciera una investigación que pusiera el foco sobre el mismo, porque diez años después de su publicación seguramente opine que su vigencia ha caducado. Sin embargo, muestra con una claridad meridiana el estado conceptual y vital de OMA en el momento de su publicación y representa, además un verdadero hito en la comunicación arquitectónica, un punto de no retorno, el máximo exponente de lo que hemos denominado “comunicación congestiva”. La presente tesis plantea que “Content” contiene la esencia de la mayor aportación de Rem Koolhaas al mundo de la arquitectura: la transformación profunda y definitiva de la comunicación arquitectónica mediante la convergencia del estado conceptual y la transmisión del mismo. Su legado arquitectónico y conceptual ha marcado a todas las generaciones posteriores de manera indeleble. Sus ensayos, sus teorías, sus proyectos y sus edificaciones ya pertenecen a la historia de la arquitectura, sin ninguna duda. Pero es su revisión del concepto de la comunicación en arquitectura lo que ha tenido y tendrá un reflejo inmediato en las generaciones futuras, no solamente en la comunicación sino en su arquitectura, a través de un intercambio biyectivo. El planteamiento a futuro sería determinar qué sucede tras “Content”, tras la hiperdensidad máxima, tras la cultura de la congestión visual; qué es lo que propone Koolhaas y qué se va a plantear también en el mundo de la comunicación arquitectónica. Para ello, estudiaremos en profundidad sus últimos proyectos relacionados con la comunicación, como su propuesta para la Biennale de Arquitectura de Venecia de 2014, su intensa investigación sobre el “Metabolismo” en “Project Japan: Metabolism Talks...”, o la dirección de sus últimos planteamientos territoriales. En los últimos tiempos Rem Koolhaas habla de “Preservación”, de “Sobriedad”, de “Esencialismo”, de “Performance”... El autor intelectual de la cultura de la congestión habla ahora de la “low density”...como no podía ser de otra manera en la otra cara del espejo. En definitiva, el color blanco como suma de todos los colores, todas las longitudes de onda del espectro visible recibidas al tiempo. ABSTRACT When talking about Rem Koolhaas, the mirror does not only reflect one but numerous images: it is nothing but a polyhedral prism. His mirror gives us the image of Rem the media celebrity, the intellectual, the conceptualizer, the builder, the analyst, the journalist, the actor... This research sets the spotlight on Rem the COMMUNICATOR. "Rem on both sides of the mirror" belongs to a research on architectural media, its influence on the architectural production and vice versa. It is aimed at getting to discern whether communication and architectural production collide and converge in the case of great communicators such as Rem Koolhaas, and whether the message and transmission media acquire the same features. Focusing on the figure of Rem Koolhaas, this thesis addresses the evolution of his communicative facet and the successive transformations in the field of architectural communication, parallel to the conceptual evolution he underwent throughout his career. Therefore, this research is not so much focused on his theoretical component or on the OMA’s architectural practice, but on the exhibition of his production to the world, especially through his essays and books. "Delirious New York" and "SMLXL" hold up a mirror to the conceptual moment they are part of, and contain a great deal of information about the graphic references that have inevitably influenced his work. Specially, the launch of "SMLXL" was a salutary shock for the architectural communication world, since it set the spotlight on the importance of leaving a linear and unifocal narrative behind in order to face communication considering multiple variables and approaches, based on a process similar to the development of an architectural project. It offers a very innovative design and an extremely careful editing, which deals with parameters much more ambitious than those merely narrative. It explores the need for a global subject and suggests the most appropriate approach for each of the projects described, giving the reader a closer insight to the sensory that goes beyond what’s strictly visual. In addition, its huge international impact and the great interest shown, not only by architects but also by graphic designers, publishers, people from all kinds of artistic trends and the general public, led to the globalisation of the architectural publications phenomenon and brought the importance of communication as a discipline in itself, within the architectural production in the age at hand, to light. Despite the importance of "SMLXL" at all levels, this thesis suggests that the communication experience really culminates in "Content", for it includes new conceptual parameters associated with the container-content conceptual fusion. It is in this book where the purpose of communication and the expression of such become a single element, ruled by similar laws. In this particular case, the fundamental law is to implement the "culture of congestion" to its extreme consequences in both the message and the media, leading to what we have agreed to refer to as "congestive communication”. This concept leads to its inevitable materialisation into an ephemeral, disposable, almost virtual product, because it meets the conditions of a very concrete and specific time, and outside that context it loses its significance. The "culture of congestion" emerged in Koolhaas’ approaches under the guidance of Elia Zenghelis, in the Architectural Association School of Architecture of London. Subsequently, his retroactive manifesto on Manhattan, "Delirious New York" developed it, waging an all-out war against the modern movement urbanism and maintaining that the really contemporary cities are those hyperdense ones that rise as a result of an unplanned development and thanks to the typical technological advances of their time. Finally it began to materialise in the Diploma Unit 9 of the AA, in which he started lecturing in 1975, leaving an indelible mark on subsequent generations of architects who passed that unit. First and foremost, Rem Koolhaas is an intellectual and, therefore, all the theoretical construct in the metropolis began to be reflected in his work through OMA since the beginnings of his production. Broadly speaking, we can say that his career is influenced by two essential historic events, which determine three different stages in his production. In the early years of his career, Koolhaas was still fascinated by the urban metropolis and the implementation of the paranoiac-critical method to his architectural production. He was then a deeply surreal architect. He understood this method as a knowledge strategy and an approach to the world around him: "let the subconscious out but hold it with the crutches of reasonableness”. However, he was actually interested in its implementation on a broad scale, the "Bigness", and therefore, he took part in ambitious projects that led to the accrual of concepts that, beyond being rewarded, left an ideological impression on the evolution of architecture. These projects included his proposal for the Parc de la Villette or the Très Grande Bibliotèque in Paris. The projects he carried out during this period showed a great conceptual background, which evolved into surprising interiors but a sober, or even "povera", exterior appearance, thanks to the use of ephemeral materials that were atypical in the macro-architecture field until that moment. Suddenly, in 1997, the so-called "Bilbao effect" boomed thanks to Frank Gehry (1). The Guggenheim Museum of Bilbao amazed the world with its spectacular nature and its pregnant and impossible shapes. It was the beginning of the era of “The architecture of spectacle”: the transformation of the city through ICONS that would act as nodes of attraction and gathering, around which the economic, cultural and socio-political activity of the city was supposed to be revitalized, as if through a single gesture all internal tissues of the city could be rebuilt. Rem Koolhaas quickly realized that the approach to the city, and especially to the global market, had changed. In the world of globalisation, the only way to get to materialise such "Bigness" was by keeping his intellectual exercises in pregnant, beautiful, iconic and spectacular shapes. Koolhaas found his personal brand in the Stealth aesthetic, resulting from the eighties American combat aircrafts whose shape was faceted in order to avoid radars. Projects such as the Casa da Música in Porto or the Seattle Library date from this period; both buildings are faceted icons of pregnant beauty that left an indelible mark on the city and caused, like the Guggenheim, some degree of recovery and revitalization on the environment in which they were based, at least temporarily. In any case, Koolhaas never gave the merely theoretical exercises up, but he segregated his work in two: OMA produced what was destined to be built and ruled by the parameters of the global market and AMO, Rem’s other side of the mirror, applied the architectural thought in unexplored fields, notwithstanding external agents and being able to work as a purely experimental laboratory. In light of this backdrop, September 11th 2001 came and the attacks on the Twin Towers in New York had devastating effects at all levels, leading to a change in the world order, in a surprisingly short period of time. Rem Koolhaas made a 180° turn directing his vision towards China, where he believed his contributions would have a more direct social benefit than in the Western world. (2) In order to introduce his new course of direction and the creation of the AMO "Think Tank", he planned a major exhibition in the Neue Nationalgalerie of Berlin under the title "Content", in parallel with edition of the book with the same title, which was at first the "exhibition catalog” but, deep down, was always conceived as the most important document of the Office since "SMLXL". However, in many ways it was just the opposite: a publication characterised by its magazine format, soft cover, very fine paging, "supermarket brochure" form and hyperdense content. It was an ephemeral, brief, light, cheap and "disposable" experiment. In fact, it is currently out of stock and out of print. Rem Koolhaas would probably disapprove of a research that sets the spotlight on him, for he would probably say that his validity has expired given that it has been ten years since its publication. However, it shows OMA’s conceptual and vital status at the time of its publication with crystalline clarity and it is also a true milestone in architectural communication. A point of no return. The epitome of the so-called "congestive communication ". This thesis suggests that "Content" contains the essence of Rem Koolhaas’ greatest contribution to the world of architecture: the deep and definitive transformation of architectural communication through the convergence of the conceptual state and the transmission thereof. His architectural and conceptual legacy has left an indelible mark on all subsequent generations. There is no doubt his essays, theories, projects and buildings already belong to the history of architecture. But it is his review on the concept of communication in architecture that has had and shall have an immediate influence on future generations, not only in their communication but also in their architecture, through a bijective exchange. Future approaches should try to determine what happens after "Content", after the maximum hyperdensity, after the visual culture of congestion; what shall Koolhaas suggest as well as what shall happen in the world of architectural communication. To this end, we shall study his latest communication-related projects, such as the design of the Venetian Architecture Biennale in 2014, his intensive research on the "Metabolism" in "Project Japan: Metabolism Talks ...", or the course of his latest territorial approaches in depth. Most recently, Rem Koolhaas has talked about "Preservation", "Sobriety" of "Essentialism", "Performance", etc. The mastermind of the culture of congestion now speaks of the "low density"... as it could not be otherwise, on the other side of the mirror. Summarizing, the white color as the sum of all colors; all wavelengths of the visible spectrum received at the same time.
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The androgen receptor (AR) binds to androgen response elements and regulates target genes via a mechanism involving coregulators. Here we demonstrate that the AR can interact with the testicular orphan receptor-4 (TR4) and function as a repressor to down-regulate the TR4 target genes by preventing the TR4 binding to its target DNA. Interestingly, the heterodimerization of AR and TR4 also allows TR4 to repress AR target gene expression. Simultaneous exposure to both receptors therefore could result in bidirectional suppression of their target genes. Together, these data demonstrate that the coupling of two different receptors, through the heterodimerization of AR and TR4, is a unique signaling pathway in the steroid receptor superfamily, which may facilitate further understanding of the complicated androgen action in prostate cancer or libido.
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Despite striking differences in climate, soils, and evolutionary history among diverse biomes ranging from tropical and temperate forests to alpine tundra and desert, we found similar interspecific relationships among leaf structure and function and plant growth in all biomes. Our results thus demonstrate convergent evolution and global generality in plant functioning, despite the enormous diversity of plant species and biomes. For 280 plant species from two global data sets, we found that potential carbon gain (photosynthesis) and carbon loss (respiration) increase in similar proportion with decreasing leaf life-span, increasing leaf nitrogen concentration, and increasing leaf surface area-to-mass ratio. Productivity of individual plants and of leaves in vegetation canopies also changes in constant proportion to leaf life-span and surface area-to-mass ratio. These global plant functional relationships have significant implications for global scale modeling of vegetation–atmosphere CO2 exchange.
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The cAMP-responsive element binding protein (CREB), a key regulator of gene expression, is activated by phosphorylation on Ser-133. Several different protein kinases possess the capability of driving this phosphorylation, making it a point of potential convergence for multiple intracellular signaling cascades. Previous work in neurons has indicated that physiologic synaptic stimulation recruits a fast calmodulin kinase IV (CaMKIV)-dependent pathway that dominates early signaling to CREB. Here we show in hippocampal neurons that the fast, CaMK-dependent pathway can be followed by a slower pathway that depends on Ras/mitogen-activated protein kinase (MAPK), along with CaMK. This pathway was blocked by dominant-negative Ras and was specifically recruited by depolarizations that produced strong intracellular Ca2+ transients. When both pathways were recruited, phosphorylated CREB (pCREB) formation was overwhelmingly dominated by the CaMK pathway between 0 and 10 min, and by the MAPK pathway at 60 min, whereas the two pathways acted in concert at 30 min. The Ca2+ signals that produced only rapid CaMK signaling to pCREB or both rapid CaMK and slow MAPK signaling deviated significantly for only ≈1 min, yet their differential impact on pCREB extended over a much longer period, between 20 and 60 min and beyond, which is of likely significance for gene expression. The CaMK-dependent MAPK pathway may inform the nucleus about stimulus amplitude. In contrast, the CaMKIV pathway may be well suited to conveying information on the precise timing of localized synaptic stimuli, befitting its greater speed and sensitivity, whereas the previously described calcineurin pathway may carry information about stimulus duration.
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The ability to recognize oneself in a mirror is an exceedingly rare capacity in the animal kingdom. To date, only humans and great apes have shown convincing evidence of mirror self-recognition. Two dolphins were exposed to reflective surfaces, and both demonstrated responses consistent with the use of the mirror to investigate marked parts of the body. This ability to use a mirror to inspect parts of the body is a striking example of evolutionary convergence with great apes and humans.
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Let a(x) be a real function with a regular growth as x --> infinity. [The precise technical assumption is that a(x) belongs to a Hardy field.] We establish sufficient growth conditions on a(x) so that the sequence ([a(n)])(infinity)(n=1) is a good averaging sequence in L2 for the pointwise ergodic theorem. A sequence (an) of positive integers is a good averaging sequence in L2 for the pointwise ergodic theorem if in any dynamical system (Omega, Sigma, m, T) for f [symbol, see text] in L2(Omega) the averages [equation, see text] converge for almost every omicron in. Our result implies that sequences like ([ndelta]), where delta > 1 and not an integer, ([n log n]), and ([n2/log n]) are good averaging sequences for L2. In fact, all the sequences we examine will turn out to be good averaging for Lp, p > 1; and even for L log L. We will also establish necessary and sufficient growth conditions on a(x) so that the sequence ([a(n)]) is good averaging for mean convergence. Note that for some a(x) (e.g., a(x) = log2 x), ([a(n)]) may be good for mean convergence without being good for pointwise convergence.
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Póster presentado en Escape 22, European Symposium on Computer Aided Process Engineering, University College London, UK, 17-20 June 2012.
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A study of archival RXTE, Swift, and Suzaku pointed observations of the transient high-mass X-ray binary GRO J1008−57 is presented. A new orbital ephemeris based on pulse arrival-timing shows the times of maximum luminosities during outbursts of GRO J1008−57 to be close to periastron at orbital phase − 0.03. This makes the source one of a few for which outburst dates can be predicted with very high precision. Spectra of the source in 2005, 2007, and 2011 can be well described by a simple power law with high-energy cutoff and an additional black body at lower energies. The photon index of the power law and the black-body flux only depend on the 15–50 keV source flux. No apparent hysteresis effects are seen. These correlations allow us to predict the evolution of the pulsar’s X-ray spectral shape over all outbursts as a function of just one parameter, the source’s flux. If modified by an additional soft component, this prediction even holds during GRO J1008−57’s 2012 type II outburst.
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We consider quasi-Newton methods for generalized equations in Banach spaces under metric regularity and give a sufficient condition for q-linear convergence. Then we show that the well-known Broyden update satisfies this sufficient condition in Hilbert spaces. We also establish various modes of q-superlinear convergence of the Broyden update under strong metric subregularity, metric regularity and strong metric regularity. In particular, we show that the Broyden update applied to a generalized equation in Hilbert spaces satisfies the Dennis–Moré condition for q-superlinear convergence. Simple numerical examples illustrate the results.
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The Iterative Closest Point algorithm (ICP) is commonly used in engineering applications to solve the rigid registration problem of partially overlapped point sets which are pre-aligned with a coarse estimate of their relative positions. This iterative algorithm is applied in many areas such as the medicine for volumetric reconstruction of tomography data, in robotics to reconstruct surfaces or scenes using range sensor information, in industrial systems for quality control of manufactured objects or even in biology to study the structure and folding of proteins. One of the algorithm’s main problems is its high computational complexity (quadratic in the number of points with the non-optimized original variant) in a context where high density point sets, acquired by high resolution scanners, are processed. Many variants have been proposed in the literature whose goal is the performance improvement either by reducing the number of points or the required iterations or even enhancing the complexity of the most expensive phase: the closest neighbor search. In spite of decreasing its complexity, some of the variants tend to have a negative impact on the final registration precision or the convergence domain thus limiting the possible application scenarios. The goal of this work is the improvement of the algorithm’s computational cost so that a wider range of computationally demanding problems from among the ones described before can be addressed. For that purpose, an experimental and mathematical convergence analysis and validation of point-to-point distance metrics has been performed taking into account those distances with lower computational cost than the Euclidean one, which is used as the de facto standard for the algorithm’s implementations in the literature. In that analysis, the functioning of the algorithm in diverse topological spaces, characterized by different metrics, has been studied to check the convergence, efficacy and cost of the method in order to determine the one which offers the best results. Given that the distance calculation represents a significant part of the whole set of computations performed by the algorithm, it is expected that any reduction of that operation affects significantly and positively the overall performance of the method. As a result, a performance improvement has been achieved by the application of those reduced cost metrics whose quality in terms of convergence and error has been analyzed and validated experimentally as comparable with respect to the Euclidean distance using a heterogeneous set of objects, scenarios and initial situations.
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It is almost 20 years since a series of conferences known as CULT (Corpus Use and Learning to Translate) started. The first and second took place in Bertinoro, Italy, back in 1997 and 2000, respectively. The third was held in 2004 in Barcelona, and the fourth in 2015 in Alicante. Each was organized by a few enthusiastic lecturers and scholars who also happened to be corpus lovers. Guy Aston, Silvia Bernardini, Dominic Stewart and Federico Zanettin, from the Universitá di Bologna; Allison Beeby, Patricia Rodríguez-Inés and Pilar Sánchez-Gijón, from the Universitat Autònoma de Barcelona; and Daniel Gallego-Hernández, from the Universidad de Alicante, organized CULT conferences in the belief that spreading the word about the usefulness of corpora for teaching and professional translation purposes would have positive results.
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Population balances of polymer species in terms 'of discrete transforms with respect to counts of groups lead to tractable first order partial differential equations when ali rate constants are independent of chain length and loop formation is negligible [l]. Average molecular weights in the absence ofgelation are long known to be readily found through integration of an initial value problem. The extension to size distribution prediction is also feasible, but its performance is often lower to the one provided by methods based upon real chain length domain [2]. Moreover, the absence ofagood starting procedure and a higher numerical sensitivity hás decisively impaired its application to non-linear reversibly deactivated polymerizations, namely NMRP [3].