843 resultados para Sobolev Spaces Besov Spaces Carnot Groups Sub-Laplacians
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En utilisant des approches qualitative and quantitative cette thèse démontre que les aspects intangibles des espaces architecturaux influencent le bien-être humain. Le but est de faire savoir que les espaces intérieurs ont un impact sur le bien-être et que l’architecture peut être considérée comme une solution pour satisfaire les besoins des usagers. Dans la première étude, l’approche qualitative est explorée en utilisant la narration pour identifier les aspects intangibles des espaces intérieurs qui affectent le bien-être. Une discussion s’articule autour du Modèle de Réponses Expérientielles des Humains (Model of Human Experiential Responses to Space) et de son importance comme outil pour déterrer les caractéristiques environnementales qui influencent le bien-être et qui peut être utile pour les professionnels du design. Les résultats démontrent que 43 catégories sont interprétées comme étant des aspects intangibles et servent de canevas pour trois autres études. Les résultats démontrent que certaines caractéristiques environnementales similaires dans les résidences et les bureaux augmentent le sentiment de satisfaction et de bien-être. Dans la deuxième étude, une approche quantitative est explorée en utilisant les neurosciences et l’architecture afin de mesurer comment les espaces architecturaux affectent le bien-être. Le concept de neuroscience / environnement / comportement est utilisé où huit corrélats neuroscientifiques (Zeisel 2006) sont investigués afin de mesurer les effets du cerveau sur les espaces architecturaux. Les résultats démontrent que l’environnement peut affecter l’humeur, le niveau d’attention et le niveau de stress chez les humains et peut également augmenter leur performance. Les deux études contribuent aux connaissances que les caractéristiques environnementales affectent l’humeur et le niveau de satisfaction de la même façon dans les espaces résidentiels et dans les espaces de bureaux. Un bon environnement qui énergise les employés peut affecter leur performance au travail de façon positive (Vischer 2005).
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L’étiquette « homme-orchestre » est apposée à une grande variété de musiciens qui se distinguent en jouant seuls une performance qui est normalement interprétée par plusieurs personnes. La diversité qu’a pu prendre au cours du temps cette forme n’est pas prise en compte par la culture populaire qui propose une image relativement constante de cette figure tel que vue dans les films Mary Poppins (1964) de Walt Disney et One-man Band (2005) de Pixar. Il s’agit d’un seul performeur vêtu d’un costume coloré avec une grosse caisse sur le dos, des cymbales entre les jambes, une guitare ou un autre instrument à cordes dans les mains et un petit instrument à vent fixé assez près de sa bouche pour lui permettre d’alterner le chant et le jeu instrumental. Cette thèse propose une analyse de l’homme-orchestre qui va au-delà de sa simple production musicale en situant le phénomène comme un genre spectaculaire qui transmet un contenu symbolique à travers une relation tripartite entre performance divertissante, spectateur et image. Le contenu symbolique est lié aux idées caractéristiques du Siècle des lumières tels que la liberté, l’individu et une relation avec la technologie. Il est aussi incarné simultanément par les performeurs et par la représentation de l’homme-orchestre dans l’imaginaire collectif. En même temps, chaque performance sert à réaffirmer l’image de l’homme-orchestre, une image qui par répétitions est devenue un lieu commun de la culture, existant au-delà d’un seul performeur ou d’une seule performance. L’aspect visuel de l’homme-orchestre joue un rôle important dans ce processus par une utilisation inattendue du corps, une relation causale entre corps, technologie et production musicale ainsi que par l’utilisation de vêtements colorés et d’accessoires non musicaux tels des marionnettes, des feux d’artifice ou des animaux vivants. Ces éléments spectaculaires divertissent les spectateurs, ce qui se traduit, entre autres, par un gain financier pour le performeur. Le divertissement a une fonction phatique qui facilite la communication du contenu symbolique.
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The present study on chaos and fractals in general topological spaces. Chaos theory originated with the work of Edward Lorenz. The phenomenon which changes order into disorder is known as chaos. Theory of fractals has its origin with the frame work of Benoit Mandelbrot in 1977. Fractals are irregular objects. In this study different properties of topological entropy in chaos spaces are studied, which also include hyper spaces. Topological entropy is a measures to determine the complexity of the space, and compare different chaos spaces. The concept of fractals can’t be extended to general topological space fast it involves Hausdorff dimensions. The relations between hausdorff dimension and packing dimension. Regular sets in Metric spaces using packing measures, regular sets were defined in IR” using Hausdorff measures. In this study some properties of self similar sets and partial self similar sets. We can associate a directed graph to each partial selfsimilar set. Dimension properties of partial self similar sets are studied using this graph. Introduce superself similar sets as a generalization of self similar sets and also prove that chaotic self similar self are dense in hyper space. The study concludes some relationships between different kinds of dimension and fractals. By defining regular sets through packing dimension in the same way as regular sets defined by K. Falconer through Hausdorff dimension, and different properties of regular sets also.
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The topology as the product set with a base chosen as all products of open sets in the individual spaces. This topology is known as box topology. The main objective of this study is to extend the concept of box products to fuzzy box products and to obtain some results regarding them. Owing to the fact that box products have plenty of applications in uniform and covering properties, here made an attempt to explore some inter relations of fuzzy uniform properties and fuzzy covering properties in fuzzy box products. Even though the main focus is on fuzzy box products, some brief sketches regarding hereditarily fuzzy normal spaces and fuzzy nabla product is also provided. The main results obtained include characterization of fuzzy Hausdroffness and fuzzy regularity of box products of fuzzy topological spaces. The investigation of the completeness of fuzzy uniformities in fuzzy box products proved that a fuzzy box product of spaces is fuzzy topologically complete if each co-ordinate space is fuzzy topologically complete. The thesis also prove that the fuzzy box product of a family of fuzzy α-paracompact spaces is fuzzy topologically complete. In Fuzzy box product of hereditarily fuzzy normal spaces, the main result obtained is that if a fuzzy box product of spaces is hereditarily fuzzy normal ,then every countable subset of it is fuzzy closed. It also deals with the notion of fuzzy nabla product of spaces which is a quotient of fuzzy box product. Here the study deals the relation connecting fuzzy box product and fuzzy nabla product
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In this study we combine the notions of fuzzy order and fuzzy topology of Chang and define fuzzy ordered fuzzy topological space. Its various properties are analysed. Product, quotient, union and intersection of fuzzy orders are introduced. Besides, fuzzy order preserving maps and various fuzzy completeness are investigated. Finally an attempt is made to study the notion of generalized fuzzy ordered fuzzy topological space by considering fuzzy order defined on a fuzzy subset.
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Department of Mathematics, Cochin University of Science and Technology.
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Mathematical models are often used to describe physical realities. However, the physical realities are imprecise while the mathematical concepts are required to be precise and perfect. Even mathematicians like H. Poincare worried about this. He observed that mathematical models are over idealizations, for instance, he said that only in Mathematics, equality is a transitive relation. A first attempt to save this situation was perhaps given by K. Menger in 1951 by introducing the concept of statistical metric space in which the distance between points is a probability distribution on the set of nonnegative real numbers rather than a mere nonnegative real number. Other attempts were made by M.J. Frank, U. Hbhle, B. Schweizer, A. Sklar and others. An aspect in common to all these approaches is that they model impreciseness in a probabilistic manner. They are not able to deal with situations in which impreciseness is not apparently of a probabilistic nature. This thesis is confined to introducing and developing a theory of fuzzy semi inner product spaces.
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Mathematical models are often used to describe physical realities. However, the physical realities are imprecise while the mathematical concepts are required to be precise and perfect. The 1st chapter give a brief summary of the arithmetic of fuzzy real numbers and the fuzzy normed algebra M(I). Also we explain a few preliminary definitions and results required in the later chapters. Fuzzy real numbers are introduced by Hutton,B [HU] and Rodabaugh, S.E[ROD]. Our definition slightly differs from this with an additional minor restriction. The definition of Clementina Felbin [CL1] is entirely different. The notations of [HU]and [M;Y] are retained inspite of the slight difference in the concept.the 3rd chapter In this chapter using the completion M'(I) of M(I) we give a fuzzy extension of real Hahn-Banch theorem. Some consequences of this extension are obtained. The idea of real fuzzy linear functional on fuzzy normed linear space is introduced. Some of its properties are studied. In the complex case we get only a slightly weaker analogue for the Hahn-Banch theorem, than the one [B;N] in the crisp case
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This paper presents a computation of the $V_gamma$ dimension for regression in bounded subspaces of Reproducing Kernel Hilbert Spaces (RKHS) for the Support Vector Machine (SVM) regression $epsilon$-insensitive loss function, and general $L_p$ loss functions. Finiteness of the RV_gamma$ dimension is shown, which also proves uniform convergence in probability for regression machines in RKHS subspaces that use the $L_epsilon$ or general $L_p$ loss functions. This paper presenta a novel proof of this result also for the case that a bias is added to the functions in the RKHS.
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This resource is now obsolete and has been replaced by http://www.edshare.soton.ac.uk/5920/ This PowerPoint is an animated step-by-step guide that shows tutors how to use zappers in a teaching session. It covers starting the PC, distributing the zappers, plugging in the receiver, starting the software, running the presentation and managing voting, saving data at the end and collecting the handsets. It takes around 5 minutes to view.
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How the mathematical concept of Coarse Geometries is useful to analysing the Web
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A escritora mexicana Rosario Castellanos incorpora silêncios em suas obras de uma forma que permite ao leitor a questionar o próprio significado da agência e da natureza da subjetividade de uma protagonista feminina. Silêncios tendem a criar brechas no texto, iluminando as diferenças sociais e raciais que a narração em primeira pessoa foge. Além disso, é revelado que o sujeito se imagina em oposição ao silêncio de mulheres menos privilegiadas, e que realmente não existe um local em que o subalterno pode falar. Este projecto se centra em seu romance Balún Canan (1957), em que a babá Indígena de uma menina complica o desejo de ascender dentro da estrutura patriarcal da sua família mais privilegiada, como a menina descobre que o que faria sua vida confortável é a causa da subjugação de sua “outra mãe.” O texto é desenvolvido em torno de um desejo de falar a partir das margens, e há um esforço claro para dar voz aos subalternos. No entanto, a relação entre a menina e sua babá não é nem romântica nem idealizada; a presença da mulher colonizada resiste a marginalização e ressalta que está sendo coberto no processo de desenvolvimento individual. Ansiedadesurge dentro da narração da menina como ela percebe seu privilégio como membro da classe latifundiária, e a escrita navega entre diferentes manifestações de silêncio: o silenciamento da babá em uma replicação de violência colonial, e a manutenção do silêncio como uma barreira respeitosa.