843 resultados para Sobolev Spaces Besov Spaces Carnot Groups Sub-Laplacians
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During the process of accessing services provided within urban interior and outer spaces the elderly and disabled individuals encounter with a myriad of problems due to the limitations posed by structured environments. This limitation hinders elderly and disabled individuals from mobility without assistance, which in turn negatively affects their full participation to urban and social life. Rearrangement of urban spaces to meet the needs of elderly and disabled individuals would correspondingly bolster life quality of the entire range of users. Within the scope of present research, as mandated by universal design principles to stick to plans and designs approaches inclusive for all users, it is aimed to conduct evaluations on the use of urban outer spaces situated within Konya City Center. In the hypothetical and theoretical part of this paper, the perception of disability throughout historical process has been examined from a sociological perspective. In addition, concept of universal design, its principles and gravity have also been elaborated. In the part dealing with the case study, outer spaces within Konya City Center have been analyzed with respect to universal design principles and a range of suggestions have been developed.
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We consider a natural representation of solutions for Tikhonov functional equations. This will be done by applying the theory of reproducing kernels to the approximate solutions of general bounded linear operator equations (when defined from reproducing kernel Hilbert spaces into general Hilbert spaces), by using the Hilbert-Schmidt property and tensor product of Hilbert spaces. As a concrete case, we shall consider generalized fractional functions formed by the quotient of Bergman functions by Szegö functions considered from the multiplication operators on the Szegö spaces.
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Lorsque les aléas naturels se déroulent en catastrophes, les réponses des religieux, de l’Etat, et d’autres acteurs puissants dans une société révèlent à la fois les relations complexes entre ces parties et leur pouvoir dans la production des espaces auxquelles les survivants accèdent. La réponse en cas de catastrophe comprend la création d’espaces post-catastrophes, tels que des centres d’évacuation, des logements de transition et des sites de réinstallation permanente, qui ciblent spécifiquement un sous-ensemble particulier de survivants, et visent à les aider à survivre, à faire face, et à se remettre de la catastrophe. Les acteurs puissants dans une société dirigent les processus de secours, de récupération et de reconstruction sont des acteurs puissants qui cherchent à problématiser et à rendre un problème technique dans des termes qu’ils sont idéalement placés pour aborder à travers une variété d'interventions. Ce projet de recherche vise à répondre à la question: où les survivants d'une catastrophe reconstruisent-ils leurs vies et leurs moyens de subsistance? Il enquête sur un cas spécifique de la migration environnementale dans laquelle des dizaines de milliers d'habitants ont été déplacés de façon permanente et temporaire de leurs résidences habituelles après le typhon Sendong à Cagayan de Oro, Philippines en 2011. La recherche est basée sur des entretiens avec les acteurs puissants et les survivants, des vidéos participatives réalisées par des survivants pauvres urbains, et des activités de cartographie. L’étude se fonde sur la théorie féministe, les études de migration, les études dans la gouvernementalité, la recherche sur les changements de l’environnement planétaire, et les études régionales afin de situer les diverses expériences de la migration dans un contexte géographique et historique. Cette thèse propose une topographie critique dans laquelle les processus et les pratiques de production d’espaces post-catastrophe sont exposés. Parce que l’espace est nécessairement malléable, fluide, et relationnelle en raison de l'évolution constante des activités, des conflits, et des expériences qui se déroulent dans le paysage, une analyse de l'espace doit être formulée en termes de relations sociales qui se produisent dans et au-delà de ses frontières poreuses. En conséquence, cette étude explore comment les relations sociales entre les survivants et les acteurs puissants sont liées à l’exclusion, la gouvernementalité, la mobilité, et la production des espaces, des lieux et des territoires. Il constate que, si les trajectoires de migration de la plupart des survivants ont été confinés à l'intérieur des limites de la ville, les expériences de ces survivants et leur utilisation des espaces urbains sont très différentes. Ces différences peuvent être expliquées par des structures politiques, économiques, et sociales, et par les différences religieuses, économiques, et de genre. En outre, il fait valoir que les espaces post-catastrophe doivent être considérés comme des «espaces d’exclusion» où les fiduciaires exercent une rationalité gouvernementale. C’est-à-dire, les espaces post-catastrophe prétendument inclusives servent à marginaliser davantage les populations vulnérables. Ces espaces offrent aussi des occasions pour les acteurs puissants dans la société philippine d'effectuer des interventions gouvernementales dans lesquelles certaines personnes et les paysages sont simplifiées, rendues lisibles, et améliorés.
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We obtain invertibility and Fredholm criteria for the Wiener-Hopf plus Hankel operators acting between variable exponent Lebesgue spaces on the real line. Such characterizations are obtained via the so-called even asymmetric factorization which is applied to the Fourier symbols of the operators under study.
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The aim of this paper is to provide a comprehensive study of some linear non-local diffusion problems in metric measure spaces. These include, for example, open subsets in ℝN, graphs, manifolds, multi-structures and some fractal sets. For this, we study regularity, compactness, positivity and the spectrum of the stationary non-local operator. We then study the solutions of linear evolution non-local diffusion problems, with emphasis on similarities and differences with the standard heat equation in smooth domains. In particular, we prove weak and strong maximum principles and describe the asymptotic behaviour using spectral methods.
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With the ever-growing amount of connected sensors (IoT), making sense of sensed data becomes even more important. Pervasive computing is a key enabler for sustainable solutions, prominent examples are smart energy systems and decision support systems. A key feature of pervasive systems is situation awareness which allows a system to thoroughly understand its environment. It is based on external interpretation of data and thus relies on expert knowledge. Due to the distinct nature of situations in different domains and applications, the development of situation aware applications remains a complex process. This thesis is concerned with a general framework for situation awareness which simplifies the development of applications. It is based on the Situation Theory Ontology to provide a foundation for situation modelling which allows knowledge reuse. Concepts of the Situation Theory are mapped to the Context Space Theory which is used for situation reasoning. Situation Spaces in the Context Space are automatically generated with the defined knowledge. For the acquisition of sensor data, the IoT standards O-MI/O-DF are integrated into the framework. These allow a peer-to-peer data exchange between data publisher and the proposed framework and thus a platform independent subscription to sensed data. The framework is then applied for a use case to reduce food waste. The use case validates the applicability of the framework and furthermore serves as a showcase for a pervasive system contributing to the sustainability goals. Leading institutions, e.g. the United Nations, stress the need for a more resource efficient society and acknowledge the capability of ICT systems. The use case scenario is based on a smart neighbourhood in which the system recommends the most efficient use of food items through situation awareness to reduce food waste at consumption stage.
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The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces (lcs) considered as topological groups. Therefore it is natural to extend classical properties of locally convex spaces to this larger class of abelian topological groups. In the present paper we consider the following well known property of lcs: “A metrizable locally convex space carries its Mackey topology ”. This claim cannot be extended to lqc-groups in the natural way, as we have recently proved with other coauthors (Außenhofer and de la Barrera Mayoral in J Pure Appl Algebra 216(6):1340–1347, 2012; Díaz Nieto and Martín Peinador in Descriptive Topology and Functional Analysis, Springer Proceedings in Mathematics and Statistics, Vol 80 doi:10.1007/978-3-319-05224-3_7, 2014; Dikranjan et al. in Forum Math 26:723–757, 2014). We say that an abelian group G satisfies the Varopoulos paradigm (VP) if any metrizable locally quasi-convex topology on G is the Mackey topology. In the present paper we prove that in any unbounded group there exists a lqc metrizable topology that is not Mackey. This statement (Theorem C) allows us to show that the class of groups satisfying VP coincides with the class of finite exponent groups. Thus, a property of topological nature characterizes an algebraic feature of abelian groups.
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Part 14: Interoperability and Integration
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International audience
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Entangled quantum states can be given a separable decomposition if we relax the restriction that the local operators be quantum states. Motivated by the construction of classical simulations and local hidden variable models, we construct `smallest' local sets of operators that achieve this. In other words, given an arbitrary bipartite quantum state we construct convex sets of local operators that allow for a separable decomposition, but that cannot be made smaller while continuing to do so. We then consider two further variants of the problem where the local state spaces are required to contain the local quantum states, and obtain solutions for a variety of cases including a region of pure states around the maximally entangled state. The methods involve calculating certain forms of cross norm. Two of the variants of the problem have a strong relationship to theorems on ensemble decompositions of positive operators, and our results thereby give those theorems an added interpretation. The results generalise those obtained in our previous work on this topic [New J. Phys. 17, 093047 (2015)].
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We prove that, given a topological space X, the following conditions are equivalent. (α) X is a Gruenhage space. (β) X has a countable cover by sets of small local diameter (property SLD) by F∩G sets. (γ) X has a separating σ-isolated family M⊂F∩G. (δ) X has a one-to-one continuous map into a metric space which has a σ-isolated base of F∩G sets. Besides, we provide an example which shows Fragmentability ⇏ property SLD ⇏ the space to be Gruenhage.
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In this thesis we study weak isometries of Hamming spaces. These are permutations of a Hamming space that preserve some but not necessarily all distances. We wish to find conditions under which a weak isometry is in fact an isometry. This type of problem was first posed by Beckman and Quarles for Rn. In chapter 2 we give definitions pertinent to our research. The 3rd chapter focuses on some known results in this area with special emphasis on papers by V. Krasin as well as S. De Winter and M. Korb who solved this problem for the Boolean cube, that is, the binary Hamming space. We attempted to generalize some of their methods to the non-boolean case. The 4th chapter has our new results and is split into two major contributions. Our first contribution shows if n=p or p < n2, then every weak isometry of Hnq that preserves distance p is an isometry. Our second contribution gives a possible method to check if a weak isometry is an isometry using linear algebra and graph theory.
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On the night of April 20, 2010, a group of students from the University of Puerto Rico (UPR), Río Piedras campus, met to organize an indefinite strike that quickly broadened into a defense of accessible public higher education of excellence as a fundamental right and not a privilege. Although the history of student activism in the UPR can be traced back to the early 1900s, the 2010-2011 strike will be remembered for the student activists’ use of new media technologies as resources that rapidly prompted and aided the numerous protests. ^ This activist research entailed a critical ethnography and a critical discourse analysis (CDA) of traditional and alternative media coverage and treatment during the 2010 -2011 UPR student strike. I examined the use of the 2010-2011 UPR student activists’ resistance performances in constructing local, corporeal, and virtual spaces of resistance and contention during their movement. In particular, I analyzed the different tactics and strategies of resistance or repertoire of collective actions that student activists used (e.g. new media technologies) to frame their collective identities via alternative news media’s (re)presentation of the strike, while juxtaposing the university administration’s counter-resistance performances in counter-framing the student activists’ collective identity via traditional news media representations of the strike. I illustrated how both traditional and alternative media (re)presentations of student activism developed, maintained, and/or modified students activists’ collective identities. ^ As such, the UPR student activism’s success should not be measured by the sum of demands granted, but by the sense of community achieved and the establishment of networks that continue to create resistance and change. These networks add to the debate surrounding Internet activism and its impact on student activism. Ultimately, the results of this study highlight the important role student movements have had in challenging different types of government policies and raising awareness of the importance of an accessible public higher education of excellence.^