Fundamental domains for proper affine actions of Coxeter groups in three dimensions

We study proper actions of groups $G \cong \Z/2\Z \ast \Z/2\Z \ast \Z/2\Z$ on affine space of three real dimensions. Since $G$ is nonsolvable, work of Fried and Goldman implies that it preserves a Lorentzian metric. A subgroup $\Gamma < G$ of index two acts freely, and $\R^3/\Gamma$ is a Margulis spacetime associated to a hyperbolic surface $\Sigma$. When $\Sigma$ is convex cocompact, work of Danciger, Gu{\'e}ritaud, and Kassel shows that the action of $\Gamma$ admits a polyhedral fundamental domain bounded by crooked planes. We consider under what circumstances the action of $G$ also admits a crooked fundamental domain. We show that it is possible to construct actions of $G$ that fail to admit crooked fundamental domains exactly when the extended mapping class group of $\Sigma$ fails to act transitively on the top-dimensional simplices of the arc complex of $\Sigma$. We also provide explicit descriptions of the moduli space of $G$ actions that admit crooked fundamental domains.

Stable sampling and Fourier multipliers

We study the relationship between stable sampling sequences for bandlimited functions in $L^p(\R^n)$ and the Fourier multipliers in $L^p$. In the case that the sequence is a lattice and the spectrum is a fundamental domain for the lattice the connection is complete. In the case of irregular sequences there is still a partial relationship.

Cosmic crystallography with a pullback

We present a modified version of the cosmic crystallography method, especially useful for testing closed models of negative spatial curvature. The images of clusters of galaxies in simulated catalogs are 'pulled back' to the fundamental domain before the set of distances is calculated. © 1999 Published by Elsevier Science B.V. All rights reserved.

Zeros of Weakly Holomorphic Modular Forms of Levels 2 and 3

Let M-k(#)(N) be the space of weakly holomorphic modular forms for Gamma(0)(N) that are holomorphic at all cusps except possibly at infinity. We study a canonical basis for M-k(#)(2) and M-k(#)(3) and prove that almost all modular forms in this basis have the property that the majority of their zeros in a fundamental domain lie on a lower boundary arc of the fundamental domain.

Measuring the topology of the universe

Observations of microwave background fluctuations can yield information not only about the geometry of the universe but potentially about the topology of the universe. If the universe is negatively curved, then the characteristic scale for the topology of the universe is the curvature radius. Thus, if we are seeing the effects of the geometry of the universe, we can hope to soon see signatures of the topology of the universe. The cleanest signature of the topology of the universe is written on the microwave sky: There should be thousands of pairs of matched circles. These circles can be used to determine the precise topology and volume of the universe. Because we see hundreds of slices through the fundamental domain of the universe, we can use the microwave observations to reconstruct the initial conditions of the entire universe on the scale of a few megaparsecs.

Interactional strategies between terminologist and domain specialist. Putting order into our universe: the concept of Blended Learning

A presente comunicação visa discutir as mais-valias de um desenho metodológico sustentado numa abordagem conceptual da Terminologia aplicado ao exercício de harmonização da definição do cenário educativo mais promissor do Ensino Superior actual: o blended learning. Sendo a Terminologia uma disciplina que se ocupa da representação, da descrição e da definição do conhecimento especializado através da língua a essência deste domínio do saber responde a uma necessidade fundamental da sociedade actual: putting order into our universe, nas palavras de Nuopponen (2011). No contexto descrito, os conceitos, enquanto elementos da estrutura do conhecimento (Sager, 1990) constituem um objecto de investigação de complexidade não despicienda, pois apesar do postulado de que a língua constitui uma ferramenta fundamental para descrever e organizar o conhecimento, o princípio isomórfico não pode ser tomado como adquirido. A abordagem conceptual em Terminologia propõe uma visão precisa do papel da língua no trabalho terminológico, sendo premissa basilar que não existe uma correspondência unívoca entre os elementos atomísticos do conhecimento e os elementos da expressão linguística. É pela razões enunciadas que as opções metodológicas circunscritas à análise do texto de especialidade serão consideradas imprecisas. Nesta reflexão perspectiva-se que o conceito-chave de uma abordagem conceptual do trabalho terminológico implica a combinação de um processo de elicitação do conhecimento tácito através de uma negociação discursiva orientada para o conceito e a análise de corpora textuais. Defende-se consequentemente que as estratégias de interacção entre terminólogo e especialista de domínio merecem atenção detalhada pelo facto de se reflectirem com expressividade na qualidade dos resultados obtidos. Na sequência do exposto, o modelo metodológico que propomos sustenta-se em três etapas que privilegiam um refinamento dessa interacção permitindo ao terminólogo afirmar-se como sujeito conceptualizador, decisor e interventor: (1) etapa exploratória do domínio-objecto de estudo; (2) etapa de análise onamasiológica de evidência textual e discursiva; (3) etapa de modelização e de validação de resultados. Defender-se-á a produtividade de uma sequência cíclica entre a análise textual e discursiva para fins onomasiológicos, a interacção colaborativa e a introspecção.

Fundamental interactions of molecules (Na_2, Na_3) with intense femtosecond laser pulses

The real-time dynamics of multiphoton ionization and fragmentation of molecules Na_2 and Na_3 has been studied in molecular beam experiments employing ion and electron spectroscopy together with femtosecond pump-probe techniques. Experiments with Na_2 and Na_3 reveal unexpected features of the dynamics of the absorption of several photons as seen in the one- and three-dimensional vibrational wave packet motion in different potential surfaces and in high laser fields: In Na_2 a second major resonance-enhanced multiphoton ionization (REMPI) process is observed, involving the excitation of two electrons and subsequent electronic autoionization. The possibility of controlling a reaction by controlling the duration of propagation of a wave packet on an electronically-excited surface is demonstrated. In high laser fields, the contributions from direct photoionization and from the second REMPI process to the total ion yield change, due to different populations in the electronic states participating in the multiphoton ionization (MPI) processes. In addition, a vibrational wave packet motion in the electronic ground state is induced through stimulated emission pumping by the pump laser. The 4^1 \summe^+_g shelf state of Na_2 is given as an example for performing frequency spectroscopy of highlying electronic states in the time domain. Pure wave packet effects, such as the spreading and the revival of a vibrational wave packet, are investigated. The three-dimensional wave packet motion in the Na_3 reflects the normal modes in the X and B states, and shows in addition the pseudorotational motion in the B state in real time.

The Court of Justice of the European Union as a fundamental rights tribunal: challenges for the effective delivery of fundamental rights in the area of freedom, security and justice. CEPS Paper in Liberty and Security in Europe No. 49, 29 August 2012

This paper reflects on the challenges facing the effective implementation of the new EU fundamental rights architecture that emerged from the Lisbon Treaty. Particular attention is paid to the role of the Court of Justice of the European Union (CJEU) and its ability to function as a ‘fundamental rights tribunal’. The paper first analyses the praxis of the European Court of Human Rights in Strasbourg and its long-standing experience in overseeing the practical implementation of the European Convention for the Protection of Human Rights and Fundamental Freedoms. Against this analysis, it then examines the readiness of the CJEU to live up to its consolidated and strengthened mandate on fundamental rights as one of the prime guarantors of the effective implementation of the EU Charter of Fundamental Rights. We specifically review the role of ‘third-party interventions’ by non-governmental organisations, international and regional human rights actors as well as ‘interim relief measures’ when ensuring effective judicial protection of vulnerable individuals in cases of alleged violations of fundamental human rights. To flesh out our arguments, we rely on examples within the scope of the relatively new and complex domain of EU legislation, the Area of Freedom, Security and Justice (AFSJ), and its immigration, external border and asylum policies. In view of the fundamental rights-sensitive nature of these domains, which often encounter shifts of accountability and responsibility in their practical application, and the Lisbon Treaty’s expansion of the jurisdiction of the CJEU to interpret and review EU AFSJ legislation, this area can be seen as an excellent test case for the analyses at hand. The final section puts forth a set of policy suggestions that can assist the CJEU in the process of adjusting itself to the new fundamental rights context in a post-Lisbon Treaty setting.

Precipitation distributions for explicit versus parameterized convection in a large-domain high-resolution tropical case study

Global climate and weather models tend to produce rainfall that is too light and too regular over the tropical ocean. This is likely because of convective parametrizations, but the problem is not well understood. Here, distributions of precipitation rates are analyzed for high-resolution UK Met Office Unified Model simulations of a 10 day case study over a large tropical domain (∼20°S–20°N and 42°E–180°E). Simulations with 12 km grid length and parametrized convection have too many occurrences of light rain and too few of heavier rain when interpolated onto a 1° grid and compared with Tropical Rainfall Measuring Mission (TRMM) data. In fact, this version of the model appears to have a preferred scale of rainfall around 0.4 mm h−1 (10 mm day−1), unlike observations of tropical rainfall. On the other hand, 4 km grid length simulations with explicit convection produce distributions much more similar to TRMM observations. The apparent preferred scale at lighter rain rates seems to be a feature of the convective parametrization rather than the coarse resolution, as demonstrated by results from 12 km simulations with explicit convection and 40 km simulations with parametrized convection. In fact, coarser resolution models with explicit convection tend to have even more heavy rain than observed. Implications for models using convective parametrizations, including interactions of heating and moistening profiles with larger scales, are discussed. One important implication is that the explicit convection 4 km model has temperature and moisture tendencies that favour transitions in the convective regime. Also, the 12 km parametrized convection model produces a more stable temperature profile at its extreme high-precipitation range, which may reduce the chance of very heavy rainfall. Further study is needed to determine whether unrealistic precipitation distributions are due to some fundamental limitation of convective parametrizations or whether parametrizations can be improved, in order to better simulate these distributions.

Formação de professores, ensino de ciências e os conteúdos procedimentais nas séries iniciais do ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A produção textual escrita de alunos de 1ª série do ensino fundamental: sob a influência dos métodos de alfabetização

Com base em estudos que tomam como eixo central a alfabetização e o letramento, esta dissertação compreende uma investigação acerca da influência dos métodos de alfabetização, mais especificamente do método silábico e da proposta de alfabetização com base lingüística (ABL), na produção textual escrita de alunos de 1 série do Ensino Fundamental, alfabetizados ou pelo método silábico ou pela proposta ABL. Para tanto, este estudo partiu da hipótese de que a relação oralidade/escrita estabelecida pelo aluno em suas produções e a utilização de um número restrito de elementos coesivos que estabelecem as relações de sentido entre os enunciados que compõem o texto é, em parte, responsabilidade dos métodos e/ou propostas de alfabetização adotados. O diálogo estabelecido com autores que dão visibilidade à prática de alfabetizar letrando; os estudos sobre letramento, alfabetização, psicogênese da língua escrita e a produção de textos escolares ajudaram na condução desse trabalho, que além da pesquisa bibliográfica se valeu da pesquisa de campo realizada nas escolas N.S.A e L.C pertencentes à Rede Municipal de Ensino de Ananindeua e à Rede Privada de Ensino de Belém, respectivamente. Durante esta pesquisa, foram observados o desenvolvimento do trabalho de quatro professoras com turmas de alfabetização e da produção textual de doze alunos de duas turmas de 1 série da escola N.S.A; também foram aplicados dois questionários a sete professoras de turmas de alfabetização e 1 série das duas escolas citadas. A referida pesquisa tornou possível perceber que a alfabetização já começa a ser vista como um processo que visa não só ao domínio da tecnologia da leitura e da escrita, mas também aos usos sociais dessa tecnologia; mostra também que os alunos alfabetizados pela proposta ABL usam um maior número de elementos coesivos em suas produções que os alunos alfabetizados pelo método silábico e que a relação entre a fala e a escrita estabelecida na escrita de palavras é muito mais forte nas produções textuais escritas dos alunos alfabetizados pela ABL.

As orações concessivas nas gramáticas e nos livros didáticos do Ensino Fundamental: análises e novas propostas

This paper aims to discuss the approach of sentences concessive on grammars and teaching books in Portuguese in order to ascertain to what extent is closer or more distant from the description of sentences concessive in real interaction from the perspective of Functional Discourse Grammar. Were consulted normative grammars, descriptive and five textbooks used in primary schools. In some, the grant was not addressed, as in others, we note that, in general, have definitions which simply equate concessive clauses a concept syntactic and sometimes semantic, detaching it from the domain of pragmatic language. This level of analysis is not left out, however, by the prospect Functional Discourse, which analyzes the pragmatic as the broader component within which we analyze the semantics and syntax. From this point of view, we intend to propose new emphases in approach given the award by the grammars and the teaching materials.

Comparação do desenvolvimento neurológico entre os gêneros em alunos ingressantes no ensino fundamental em uma escola municipal em Bauru

Human beings' motor capacity development is essential, because it facilitates movement, enabling the performance of motor activities and others. In pre-school, boys and girls acquire the motor capacity development considered basic that, through several factors such as neurological maturation, which is in charge of providing more complete movements, and body growth, which has the goal of a better body domain, makes them improve individually the performance of motor abilities, but it can minimize them if laterality does not develop spontaneously. There by, this study focused on assessing the neurological development between genders of students engaging in fundamental school. Forty-three children of both genders at age six took part in this study. The evaluation occurred through the LEFÉVRE protocol (1976), which aims at assessing the maturity and development of the Nervous System through tests of the Evolutionary Neurological Exam (ENE), which comprises a series of tests involving specific tasks, regarding age in the static balance items, dynamic balance, appendicular coordination, trunk-member coordination, motor persistency, sensibility and synkinesis. Neurological development comparisons were performed between boys and girls for each item of the battery of tests. The results of the motor persistency and sensitiveness and sensorial activity tests were below the average for six-year-old children, but there was not any difference in gender comparison for each item of the battery of tests, only a small tendency for one of the genders, but meaningless, having a variance in only two tests of the synkinesis exam (Foot-hand and paper ball with the dominant hand), in which boys had a bigger percentage of synkinesis presence than girls did. The results also showed that the majority of the children assessed, both boys and girls have a right manual and pedal preference and the ocular laterality is approximately the same for left and right-handers. It was..

Professores dos anos iniciais do ensino fundamental, pedagogia histórico-crítica e ensino de ciências: investigando articulações

Pós-graduação em Educação para a Ciência - FC