On Chaos and Fractals in General Topological Spaces

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.

Conceptualizing change in the Portuguese footwear industry: regional voices and cognitive spaces of agency

Expanding national services sectors and global competition aggravate current and perceived future market pressures on traditional manufacturing industries. These perceptions of change have provoked a growing intensification of geo-political discourses on technological innovation and ‘learning’, and calls for competency in design among other professional skills. However, these political discourses on innovation and learning have paralleled public concerns with the apparent ‘growth pains’ from factory closures and subsequent increases in unemployment, and its debilitating social and economic implications for local and regional development. In this respect the following investigation sets out to conceptualize change through the complementary and differing perceptions of industry and regional actors’ experiences or narratives, linking these perceptions to their structure-determined spheres of agent-environment interactivity. It aims to determine whether agents’ differing perceptions of industry transformation can have a role in the legitimization of their interests in, and in sustaining their organizational influence over the process of industry-regional transformation. It argues that industry and regional agent perceptions are among the cognitive aspects of agent-environment interactivity that permeate agency. It stresses agents’ ability to reason and manipulate their work environments to preserve their self-regulating interests in, and task representative influence over the multi-jurisdictional space of industry-regional transformation. The contributions of this investigation suggest that agents’ varied perceptions of industry and regional change inform or compete for influence over the redirection of regional, industry and business strategies. This claim offers a greater appreciation for the reflexive and complex institutional dimensions of industry planning and development, and the political responsibility to socially just forms of regional development. It positions the outcomes of this investigation at the nexus of intensifying geo-political discourses on the efficiency and equity of territorial development in Europe.

On the operator space structure of Hilbert spaces

Operator spaces of Hilbertian JC∗ -triples E are considered in the light of the universal ternary ring of operators (TRO) introduced in recent work. For these operator spaces, it is shown that their triple envelope (in the sense of Hamana) is the TRO they generate, that a complete isometry between any two of them is always the restriction of a TRO isomorphism and that distinct operator space structures on a fixed E are never completely isometric. In the infinite-dimensional cases, operator space structure is shown to be characterized by severe and definite restrictions upon finite-dimensional subspaces. Injective envelopes are explicitly computed.

A note on the Fredholm properties of Toeplitz operators on weighted Bergman spaces with matrix-valued symbols

We characterize the essential spectra of Toeplitz operators Ta on weighted Bergman spaces with matrix-valued symbols; in particular we deal with two classes of symbols, the Douglas algebra C+H∞ and the Zhu class Q := L∞ ∩VMO∂ . In addition, for symbols in C+H∞ , we derive a formula for the index of Ta in terms of its symbol a in the scalar-valued case, while in the matrix-valued case we indicate that the standard reduction to the scalar-valued case fails to work analogously to the Hardy space case. Mathematics subject classification (2010): 47B35,

A BROADER CONTEXT FOR MONOTONICALLY MONOLITHIC SPACES

This is a sequel of the work done on (strongly) monotonically monolithic spaces and their generalizations. We introduce the notion of monotonically kappa-monolithic space for any infinite cardinal kappa and present the relevant results. We show, among other things, that any sigma-product of monotonically kappa-monolithic spaces is monotonically kappa-monolithic for any infinite cardinal kappa; besides, it is consistent that any strongly monotonically omega-monolithic space with caliber omega(1) is second countable. We also study (strong) monotone kappa-monolithicity in linearly ordered spaces and subspaces of ordinals.

Just which Reality do you Mean? Users' Experiences of Virtual Spaces

Virtual Reality is a relatively new technology in the relatively young field of computer science. The design of Virtual Reality has only recently come into discussion, as well as the implications for this sort of design. I hope to determine how a user can work most efficiently and accurately in a Virtual World. By studying this, I hope to help in the standardization of Virtual Reality design.

RoboEduc: uma metodologia de aprendizado com robótica educacional

In this work, we propose a methodology for teaching robotics in elementary schools, based on the socio-historical Vygotsky theory. This methodology in conjunction with the Lego Mindstoms kit (R) and an educational software (an interface for control and programming of prototypes) are part of an educational robotics system named RoboEduc. For the practical development of this work, we have used the action-research strategy, being realized robotics activities with participation of children with age between 8 and 10 years, students of the elementary school level of Municipal School Ascendino de Almeida. This school is located at the city zone of Pitimbu, at the periphery of Natal, in Rio Grande do Norte state. The activities have focused on understanding the construction of robotic prototypes, their programming and control. At constructing prototypes, children develop zone of proximal development (ZPDs) that are learning spaces that, when well used, allow the construction not only of scientific concepts by the individuals but also of abilities and capabilities that are important for the social and cultural interactiond of each one and of the group. With the development of these practical workshops, it was possible to analyse the use of the Robot as the mediator element of the teaching-learning process and the contributions that the use of robotics may bring to teaching since elementary levels

Cauchy-Stieltjes Integral on Time Scales in Banach Spaces and Hysteresis Operators

The play operator has a fundamental importance in the theory of hysteresis. It was studied in various settings as shown by P. Krejci and Ph. Laurencot in 2002. In that work it was considered the Young integral in the frame of Hilbert spaces. Here we study the play in the frame of the regulated functions (that is: the ones having only discontinuities of the first kind) on a general time scale T (that is: with T being a nonempty closed set of real numbers) with values in a Banach space. We will be showing that the dual space in this case will be defined as the space of operators of bounded semivariation if we consider as the bilinearity pairing the Cauchy-Stieltjes integral on time scales.

Schwinger and Pegg-Barnett approaches and a relationship between angular and Cartesian quantum descriptions: II. Phase spaces

Following the discussion-in state-space language-presented in a preceding paper, we work on the passage from the phase-space description of a degree of freedom described by a finite number of states (without classical counterpart) to one described by an infinite (and continuously labelled) number of states. With this it is possible to relate an original Schwinger idea to the Pegg-Barnett approach to the phase problem. In phase-space language, this discussion shows that one can obtain the Weyl-Wigner formalism, for both Cartesian and angular coordinates, as limiting elements of the discrete phase-space formalism.

Vibrações: a arte/educação nas práticas e no discurso em saúde mental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Reinforcing production cooperation and dialogue spaces: the role of SMEs

Foreword by Alicia Bárcena and Jorge Valdez

Report on the implementation of the ECLAC work programme subregional activities for the Caribbean 2006-2007 biennium [Covering the period 1 Janurary 2006- 31 December 2007]

The focus of the activities of the Economic Commission for Latin America and the Caribbean/Caribbean Development and Cooperation Committee (ECLAC/CDCC) secretariat during the 2006-2007 biennium continued to be on assistance to member governments of the subregion with policy-making and development strategies, especially on issues relevant to the promotion of the economic, social, and environmental dimensions of development in the Caribbean. The Subregional Headquarters for the Caribbean worked closely with member countries of the CDCC in an effort to ensure the relevance of outputs which would inform policy options. This involved the strengthening of partnerships with both regional and subregional institutions and relevant agencies of the United Nations system working in the Caribbean. A major decision was taken to refocus the operational aspects of the secretariat to ensure that they were relevant to the development goals of its members. This involved the introduction of a thematic approach to the work of the office. One of the changes resulting from this was the restructuring and renaming of the Caribbean Documentation Centre. The Caribbean Knowledge Management Centre (CKMC), as it is now known, has changed its emphasis from organizing and disseminating documents, and is now a more proactive partner in the research undertaken by staff and other users of the service. The CKMC manages the ECLAC website, the public face of the organization. Newsletters and all other documents, including Information and Communications Technology (ICT) profiles of selected countries, prepared by the secretariat, are now available online at the ECLAC/CDCC website www.eclacpos.org . The Caribbean Knowledge Management Portal was launched at a meeting of information specialists in St. Vincent and the Grenadines in 2007. In addition to reaching a wider public, this measure was introduced as a means of reducing the cost of printing or disseminating publications. In spite of the unusually high vacancy rate, at both the international and local levels, during the biennium, the subregional headquarters accomplished 98 per cent of the 119 outputs earmarked for the period. Using vacant positions to carry out the assignments was not an easy task, given the complexity in recruiting qualified and experienced persons for short periods. Nevertheless, consultancy services and short-term replacement staff greatly aided the delivery of these outputs. All the same, 35 work months remained unused during the biennium, leaving 301 work months to complete the outputs. In addition to the unoccupied positions, the work of the subprogramme was severely affected by the rising cost of regional and subregional travel which limited the ability of staff to network and interact with colleagues of member countries. This also hampered the outreach programme carried out mainly through ad hoc expert group meetings. In spite of these shortcomings, the period proved to be successful for the subprogramme as it engaged the attention of member countries in its work either through direct or indirect participation. Staff members completed 36 technical papers plus the reports of the meetings and workshops. A total of 523 persons, representing member countries, participated in the 18 intergovernmental and expert meetings convened by the secretariat in the 24-month period. In its effort to build technical capacity, the subprogramme convened 15 workshops/seminars which offered training for 446 persons.

A infância pelo olhar das crianças do MST: ser criança, culturas infantis e educação

As pesquisas sobre infância no Brasil têm apontado na direção de uma nova forma de olhar a infância, trazendo a criança como um ator legítimo da pesquisa e não apenas um objeto de investigação. Ao viverem em um contexto de um movimento social como o MST, as crianças têm na sua vida as marcas da luta pela terra e reforma agrária, que influenciam seus modos de ser. Olhar para a criança do MST é vê-la como um ser que participa da organicidade do MST. Portanto, as crianças criam seus espaços de organização e mobilização. Neste sentido, questiono: Quais os sentidos e significados de infância nas falas das crianças do assentamento mártires de abril do MST? A pesquisa foi realizada no assentamento Mártires de Abril do MST, localizado em Mosqueiro, um distrito da cidade de Belém. Para recolher os dados da pesquisa, utilizei oficinas e entrevistas em grupo com as crianças do assentamento. Das oficinas participaram ao todo 23 crianças, estas oficinas tinham como objetivo me aproximar das crianças e criar um clima de confiança para as entrevistas. Nas entrevistas participaram 13 crianças com idade entre 06 e 11 anos, denominadas pelo coletivo do movimento como Sem Terrinhas. A entrevista foi dividida em quatro sessões. As falas das entrevistas foram transcritas e organizadas em sete categorias temáticas. Como referencial de análise me apoio na noção de sentido e significado que se expressam por meio da linguagem e estão relacionados à formação do eu numa perspectiva sócio-histórica, fundamentado em Bakhtin. Os resultados da pesquisa apontam para os diversos olhares que as Crianças do Assentamento Mártires de Abril têm sobre a infância: elas vêem a infância como o tempo do brincar e que ser criança no MST é vivenciar uma experiência lúdica de participação em um movimento que luta pelos direitos dos excluídos. Ao falarem de seus espaços estruturais as crianças do assentamento nos dizem em relação ao espaço doméstico que a relação com os adultos de sua família se constrói com muito cuidado, mas também com a contradição do autoritarismo; em relação ao espaço da produção que o trabalho assume outra dimensão no espaço do assentamento, sendo um momento de aprendizagem e participação na vida da comunidade; e que em relação ao espaço da cidadania a escola está distante de ser um lugar onde o direito a brincar é respeitado. As culturas infantis são produzidas pelas crianças do assentamento nas suas relações de pares através das brincadeiras, onde se ressalta que o espaço é importante para o enriquecimento dessa cultura lúdica, seja nas praias, nos igarapés e nas árvores. As crianças do assentamento nos dizem ainda que a Televisão influencia suas vidas, seus horários e seu modo de ser a agir. Finalizo o texto apontando característica que fazem da brincadeira o meio através do qual as crianças podem agir sobre o mundo e exercer efetivamente o seu direito a participação.

Interface entre políticas públicas de saúde mental e economia solidária: a inserção socioprodutiva de pessoas com transtornos mentais

A interface trabalho e loucura têm sido construída e reconstruída ao longo da história, diante disto, o uso do trabalho não se constitui uma novidade no campo da saúde mental, ele está relacionado ao nascimento da psiquiatria, em um contexto de transformações das relações de produção, com a justificativa e finalidade de controle social, exploração de mão de obra e tratamento moral.No entanto, a partir do Processo de Reforma Psiquiátrica o trabalho entra em cena sob novas perspectivas. Nesse sentido, o presente estudo aborda a relação entre as políticas de saúde mental em que o trabalho é associado à economia solidária, a fim de compreender o sentido atribuído ao trabalho relacionado, buscando identificar suas práticas de inserção socioprodutiva e como é incorporado ao campo da saúde mental no Estado do Pará. Trata-se de uma pesquisa qualitativa, com base em entrevistas, observações in locos, levantamento de material documental e institucional. Paralelamente, efetivouse o tratamento do material recolhido, com o intuito de ordenar os dados obtidos, de evidenciar as experiências observadas por meios das oficinas de trabalho e/ou produção desenvolvidas nos serviços substitutivos, bem como, por meio das associações e cooperativas. Obteve-se como resultado as atividades sociais e produtivas relacionadas à saúde mental fazem parte dos serviços desenvolvidos nos CAPS, mas também são incentivadas a partir desses espaços como é o caso da Brilho e Luz, única associação de pessoas com transtornos mentais. Malgrado, se mostrarem incipientes e frágeis em sua constituição, necessitando de infraestrutura adequada e recursos, portanto, sem possibilidade de autonomia e independência em relação aos seus parceiros, principalmente governamentais, verifiquem-se aspectos positivos no âmbito individual das pessoas inseridas. Importa ressaltar que são experiências recentes no Brasil, sobretudo, no estado do Pará enquanto políticas públicas de saúde mental em interface com a economia solidária, constituindo-se em um processo em construção.

A configuração de forças na constituição histórica do trabalho como estratégia de cuidado em saúde mental: problematizações foucaultianas

Investigated in this paper, as contributions to Foucault's genealogy of knowledge, the historical constitution of the joint activities between Work and Care in Mental Health (called Therapeutic Workshops, among other names) in their different purposes and dimensions that contributed to the production care of patients with psychological distress at different times. History is here understood as a multiplicity (and nonlinearity) of time series and various blending and shuffleforming speeches as truths. In conjunction we have discussed, we conclude that the work as a therapeutic modality in nursing homes, there emerged in the world of psychiatry, but of capitalism. Associated with measures of occupation "empty minds" of misfits, later earned the position of an instrument of discipline and social regulation. With the Psychiatric Reform, activities Work in Mental Health have been re-invented as spaces enablers of access to citizenship and contractuality social network users.