Degeneracy of velocity constraints in rigid body systems

The equations governing the dynamics of rigid body systems with velocity constraints are singular at degenerate configurations in the constraint distribution. In this report, we describe the causes of singularities in the constraint distribution of interconnected rigid body systems with smooth configuration manifolds. A convention of defining primary velocity constraints in terms of orthogonal complements of one-dimensional subspaces is introduced. Using this convention, linear maps are defined and used to describe the space of allowable velocities of a rigid body. Through the definition of these maps, we present a condition for non-degeneracy of velocity constraints in terms of the one dimensional subspaces defining the primary velocity constraints. A method for defining the constraint subspace and distribution in terms of linear maps is presented. Using these maps, the constraint distribution is shown to be singular at configuration where there is an increase in its dimension.

Superlattice structures in twisted bilayers of folded graphene

The electronic properties of bilayer graphene strongly depend on relative orientation of the two atomic lattices. Whereas Bernal-stacked graphene is most commonly studied, a rotational mismatch between layers opens up a whole new field of rich physics, especially at small interlayer twist. Here we report on magnetotransport measurements on twisted graphene bilayers, prepared by folding of single layers. These reveal a strong dependence on the twist angle, which can be estimated by means of sample geometry. At small rotation, superlattices with a wavelength in the order of 10 nm arise and are observed by friction atomic force microscopy. Magnetotransport measurements in this small-angle regime show the formation of satellite Landau fans. These are attributed to additional Dirac singularities in the band structure and discussed with respect to the wide range of interlayer coupling models.

As cidades médias e suas múltiplas particularidades: produção e consumo do espaço urbano em Marília - SP e Mossoró - RN

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Estudo de uma tomada de água em modelo reduzido

Dissertação para obtenção do grau de Mestre em Engenharia Civil na Área de Especialização em hidráulica

Blogs: atores sociais na disseminação da cultura de moda

Dissertação de mestrado em Design de Comunicação de Moda

Vector of coordinates, velocities and accelerations

This chapter describes the how the vector of coordinates are defined in the formulation of spatial multibody systems. For this purpose, the translational motion is described in terms of Cartesian coordinates, while rotational motion is specified using the technique of Euler parameters. This approach avoids the computational difficulties associated with the singularities in the case of using Euler angles or Bryant angles. Moreover, the formulation of the velocities vector and accelerations vector is presented and analyzed here. These two sets of vectors are defined in terms of translational and rotational coordinates.

General clas of inhomogeneous perfect-fluid solutions

We present a general class of solutions to Einstein's field equations with two spacelike commuting Killing vectors by assuming the separation of variables of the metric components. The solutions can be interpreted as inhomogeneous cosmological models. We show that the singularity structure of the solutions varies depending on the different particular choices of the parameters and metric functions. There exist solutions with a universal big-bang singularity, solutions with timelike singularities in the Weyl tensor only, solutions with singularities in both the Ricci and the Weyl tensors, and also singularity-free solutions. We prove that the singularity-free solutions have a well-defined cylindrical symmetry and that they are generalizations of other singularity-free solutions obtained recently.

Efficient evaluation of highly oscillatory acoustic scattering surface integrals

We consider the approximation of some highly oscillatory weakly singular surface integrals, arising from boundary integral methods with smooth global basis functions for solving problems of high frequency acoustic scattering by three-dimensional convex obstacles, described globally in spherical coordinates. As the frequency of the incident wave increases, the performance of standard quadrature schemes deteriorates. Naive application of asymptotic schemes also fails due to the weak singularity. We propose here a new scheme based on a combination of an asymptotic approach and exact treatment of singularities in an appropriate coordinate system. For the case of a spherical scatterer we demonstrate via error analysis and numerical results that, provided the observation point is sufficiently far from the shadow boundary, a high level of accuracy can be achieved with a minimal computational cost.

Perspex machine IX: transreal analysis

We introduce transreal analysis as a generalisation of real analysis. We find that the generalisation of the real exponential and logarithmic functions is well defined for all transreal numbers. Hence, we derive well defined values of all transreal powers of all non-negative transreal numbers. In particular, we find a well defined value for zero to the power of zero. We also note that the computation of products via the transreal logarithm is identical to the transreal product, as expected. We then generalise all of the common, real, trigonometric functions to transreal functions and show that transreal (sin x)/x is well defined everywhere. This raises the possibility that transreal analysis is total, in other words, that every function and every limit is everywhere well defined. If so, transreal analysis should be an adequate mathematical basis for analysing the perspex machine - a theoretical, super-Turing machine that operates on a total geometry. We go on to dispel all of the standard counter "proofs" that purport to show that division by zero is impossible. This is done simply by carrying the proof through in transreal arithmetic or transreal analysis. We find that either the supposed counter proof has no content or else that it supports the contention that division by zero is possible. The supposed counter proofs rely on extending the standard systems in arbitrary and inconsistent ways and then showing, tautologously, that the chosen extensions are not consistent. This shows only that the chosen extensions are inconsistent and does not bear on the question of whether division by zero is logically possible. By contrast, transreal arithmetic is total and consistent so it defeats any possible "straw man" argument. Finally, we show how to arrange that a function has finite or else unmeasurable (nullity) values, but no infinite values. This arithmetical arrangement might prove useful in mathematical physics because it outlaws naked singularities in all equations.

The Stokes conjecture for waves with vorticity

We study stagnation points of two-dimensional steady gravity free-surface water waves with vorticity. We obtain for example that, in the case where the free surface is an injective curve, the asymptotics at any stagnation point is given either by the “Stokes corner flow” where the free surface has a corner of 120°, or the free surface ends in a horizontal cusp, or the free surface is horizontally flat at the stagnation point. The cusp case is a new feature in the case with vorticity, and it is not possible in the absence of vorticity. In a second main result we exclude horizontally flat singularities in the case that the vorticity is 0 on the free surface. Here the vorticity may have infinitely many sign changes accumulating at the free surface, which makes this case particularly difficult and explains why it has been almost untouched by research so far. Our results are based on calculations in the original variables and do not rely on structural assumptions needed in previous results such as isolated singularities, symmetry and monotonicity.

O global e o contextual no aprendizado gerencial de multinacionais: uma perspectiva brasileira

The major purpose of this thesis is to verify, from a Brazilian perspective, how global and contextual issues influence the management learning in Multinationals. The management learning derived from the interaction of holding and sidiaries/colligates of Multinational corporation is supposed to be subject to convergent and divergent forces, the former related to global and standardized organizational practices, and the latter, is seen as a social practice subject to cultural and organizational singularities. A model was constructed to relate the dichotomy between the universality of the management practices and technologies and the particularity of the contexts where they operate, to the dichotomy between the singularities in organization and national level. This model is composed of the international, global, managerial and inter-organizational dimensions related, respectively, to the cultural and political diversity; to the universal forces of practices and values; to the managerial capabilities and resources in the organization, consolidated as best practices and to the interaction between holding and subsidiaries and the resulted learning. The combined result of these dimensions influences the knowledge flow and the learning derived from it. The field research was constituted of five cases of internationalized Brazilian firms, with a solid experience in their management systems. The main subjects of this study were executives and ofessionals/managers who respond to the management development. The data were first collected in the headquarters and complemented with visits to subsidiaries/joint ventures in other countries, in loco or with expatriated people who return to Brazil. The central supposition was validated. So, the management learning ¿ is driven by the global capitalism practices and by the global culture where they are immersed, reproducing a hegemonic vision and a common language (global dimension); ¿ incorporates the more propagated and dominant managerial values, although there are some variations when they are applied in the subsidiaries/joint ventures; is the product of the assimilation of international recognized and planned managerial practices, with the acculturation power, although not completely; is the result mainly of the managerial practice in work; is impacted not only by cross-cultural and managerial factors, but also by the business environment of the firm; is given according to the capabilities and resources in the organization, guiding the form of assimilation of practices and technologies, with global application or not (managerial dimension); ¿ is affected by the cross-cultural diversity involving the countries of the holding and the subsidiaries/joint ventures where the firm is and is given as a reproduction of the political context of the holding and subsidiaries countries (international dimension); ¿ faces aligned concurrent institutional pressures between corporate or global systems, practices of other subsidiaries/joint ventures and local practices; is more difficult to reach when there is not permeability between organizational cultures and identities of a Multinational firm; is affected by how much the relationship process across these unities is self-referenced; is facilitated by the construction and improvement of the knowledge network (interorganizational dimension). Finally some contributions of this study are exposed, including extensions of the proposed model and suggestions, recommendations for future research.

Religião e cultura local: estudo de dois grupos espíritas potiguares

The subject of this research is the spiritual religious field, connected with the local cultural perspectives. Its basis is the analysis of two spiritual groups settled in Natal/RN: The Spiritual Group Evangelho no Lar and the Spiritual Center Garimpeiros da Luz . These two groups represent a point of convergence of several sectors of this religion, either through its insertion in the local sphere or in contact to nationally influent leaders, like the mediums Francisco Cândido Xavier and Divaldo Pereira Franco. Then, it aims to reach the potiguar singularities in their spiritualism approaches, looking for an analyses to possible connections between local values and themes from the spiritualism largely developed in Brazil. So, its objective is to act in the scope of influence, references, representations and adaptive practices in a local context, and they signalize special practices . The approaches until now developed refer only to the living of a Brazilian spiritualism, perfectly developed in contact with the catholic substrate, but there s still a gap about the local observation, with its peculiarities, which its research aims to disclosure. The option for a qualitative approach, in perfect relationship with the nature of the questions which were made was considered as an appropriate way to guide the study. To reach this, it will be made an ethnography of the studied groups, not only in the use of open interviews with its members but also in the contact and observation of its religious behavior, for example: meeting for studies of the doctrine, mediunic meetings, public lectures, helping the public in general. As results of this research we can point to the delimitation of local cultural references, which are undeniable, in relation to the identification of RN personalities who are considered coordinators or active spirits in the work performed by the groups. Thus, Auta de Souza, poetess and woman of great religiosity, Augusto Severo de Albuquerque Maranhão, martyr of the aeronautics, Father João Maria, object of popular devotion and Abdias Antônio de Oliveira, ex president of the Spiritual Federation of RN, present themselves as spiritual beings who lead the adaptability to the local context. In such a context, we have to point out the work of mediums, who, having a specific charisma, interacted with the groups in the establishment of these cultural bridges already made in their own contexts (national level), through the work equally possible to be locally reproduced. This and other facts, point out to perspectives of cultural circularity , including referring to a greater linking to sub layers in a true zone that converges and has circulation between an erudite spiritualism with another one, turned to the incorporation of local and popular elements

Corpo e beleza: uma análise das produções da educação física, em nível de mestrado

Talking about body and beauty seems fairly familiar to physical education. We understand that the body language in the area provides many meanings over the appearance, beauty and aesthetics, thus requiring the need of criticism and the need to interrogate her to realize how physical education has been re-signified. For this purpose, considering the multiplicity of meanings that surround the body and beauty, we discussed the implications that this brings to the area of Physical Education, analyzing the conception of body and beauty in the studies in this area, at the masters level, from some questions: What conceptions of body and beauty have been discussed in the studies of physical education at the masters level? What is the relationship between the meanings of body and beauty products analyzed and identified in the models of beauty outlined in Physical Education? We understand the importance of this research and its contribution to the epistemological analysis of existing studies. And, mainly because there is a lack of studies that discuss these productions. For construction of this text and for our reflections, we rely on thoughts like David Le Breton, Claude Levi- Strauss, Michel Foucault, Maurice Merleau-Ponty, Ana Marcia Silva, Carmen Smith, Isabel Mendes, Karenin Porpino Nobrega and flounder. The present study is characterized as a qualitative research, and content analysis proposed by Laurence Bardin (1977) for data processing. The corpus was composed of eight essays in the area of Physical Education, published in the CAPES Theses Database for the period 2004 to 2008, selected from the subject and body beauty. The initial reading allowed us to select meaningful units and guide our discussions on two main themes, which make up the two chapters of the work. In the first chapter, entitled Body, beauty and culture, as evidenced understandings of body, nature and culture that are present in the work is considered. In the second chapter, Standard Body Transformations and beauty, we present the concepts of body and beauty found in the dissertation, focusing on the mutability of representations of the models of beauty in body singularities in the relations of power-knowledge and the importance given the body in society, especially with regard to physical education professionals. We have thus found that, considering the dissertations analyzed, the understanding of body and beauty has been resignified, when dealing with other aesthetic conceptions that consider the uniqueness expressed in the human body and the culture of which the individual belongs

Esquemas alternativos para o passo de parametrização do método da continuação baseados em parâmetros físicos

O método de fluxo de carga convencional é considerado inadequado para se obter o ponto de máximo carregamento (PMC) de sistemas de potência, devido à singularidade da matriz Jacobiana neste ponto. Os métodos da continuação são ferramentas eficientes para a solução deste tipo de problema, visto que técnicas de parametrização podem ser utilizadas para evitar a singularidade da matriz Jacobiana. Neste trabalho, novas opções para a etapa de parametrização do método da continuação são apresentadas. Mostra-se que variáveis com claro significado físico podem ser utilizadas na etapa de parametrização. As seguintes variáveis foram testadas: perda total de potência ativa e reativa, potência ativa e reativa na barra de referência, potência reativa das barras de geração, e as perdas de potência ativa e reativa nas linhas de transmissão (LT). Além de facilitar a implementação computacional do método de continuação, as técnicas de parametrização apresentadas simplificam a definição matemática e o entendimento do método por parte de engenheiros de potência, visto que os métodos de continuação existentes na literatura sempre utilizam técnicas de parametrização complexas, e de interpretação puramente geométrica. Resultados obtidos com a nova metodologia para os sistemas testes do IEEE (14, 30, 57 e 118 barras) mostram que as características de convergência do método de fluxo de carga convencional são melhoradas na região do PMC. Além disso, durante o traçado das curvas PV, as diversas técnicas de parametrização podem ser comutadas entre si possibilitando o cálculo de todos os pontos da curva com um número reduzido de iterações. Diversos testes são realizados para proporcionar a comparação do desempenho dos esquemas de parametrização propostos.

A questão do meio na pedologia e suas implicações pedagógicas

Ce texte est une lecture de la conférence de Vygotsky sur la question de l'influence de la culture et de l'environnement sur la pédologie et cherche les implications pédagogiques des ces idées sur l'éducation des enfants et, en particulier, les petits enfants. Initialement, met en évidence la méthode de l'auteur que enseigne à ses auditeurs et lecteurs à penser dialectiquement, un défi que doit être confrontés par les lecteurs - habitués à penser avec la logique formelle - pour essayer de comprendre les études de Vygotsky. Deux éléments apportés par Vygotsky à la conférence sont prise pour réfléchir sur son importance pour le développement de l'enfant: la question de la langue orale et de son importance pour l'influence de la culture et de l'environnement sur le développement humain dans l'enfance et la spécificité du développement culturel dans l'enfance que dit que ce que nous pouvons parvenir à la fin ou à la suite du processus de développement est présente dans la culture depuis le début et touche et guide ce développement de l'enfant. Dans les deux cas, la discussion au sein de cette conférence de Vygotsky déclenche une révolution dans la pensée et l'action des enseignants.