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.

Que futuro nestas ruas cheias de memórias? : a identidade histórica do espaço urbano no crescimento europeu 2020 : o caso de estudo da vila de Sesimbra

Tese de doutoramento, História (Arte, Património e Restauro), Universidade de Lisboa, Faculdade de Letras, 2016

Chapter VI: Follow-up after revascularisation

Structured follow-up after revascularisation for chronic critical limb ischaemia (CLI) aims at sustained treatment success and continued best patient care. Thereby, efforts need to address three fundamental domains: (A) best medical therapy, both to protect the arterial reconstruction locally and to reduce atherosclerotic burden systemically; (B) surveillance of the arterial reconstruction; and (C) timely initiation of repeat interventions. As most CLI patients are elderly and frail, sustained resolution of CLI and preserved ambulatory capacity may decide over independent living and overall prognosis. Despite this importance, previous guidelines have largely ignored follow-up after CLI; arguably because of a striking lack of evidence and because of a widespread assumption that, in the context of CLI, efficacy of initial revascularisation will determine prognosis during the short remaining life expectancy. This chapter of the current CLI guidelines aims to challenge this disposition and to recommend evidentially best clinical practice by critically appraising available evidence in all of the above domains, including antiplatelet and antithrombotic therapy, clinical surveillance, use of duplex ultrasound, and indications for and preferred type of repeat interventions for failing and failed reconstructions. However, as corresponding studies are rarely performed among CLI patients specifically, evidence has to be consulted that derives from expanded patient populations. Therefore, most recommendations are based on extrapolations or subgroup analyses, which leads to an almost systematic degradation of their strength. Endovascular reconstruction and surgical bypass are considered separately, as are specific contexts such as diabetes or renal failure; and critical issues are highlighted throughout to inform future studies.

An archaebacterial homologue of the essential eubacterial cell division protein FtsZ.

Life falls into three fundamental domains--Archaea, Bacteria, and Eucarya (formerly archaebacteria, eubacteria, and eukaryotes,. respectively). Though Archaea lack nuclei and share many morphological features with Bacteria, molecular analyses, principally of the transcription and translation machineries, have suggested that Archaea are more related to Eucarya than to Bacteria. Currently, little is known about the archaeal cell division apparatus. In Bacteria, a crucial component of the cell division machinery is FtsZ, a GTPase that localizes to a ring at the site of septation. Interestingly, FtsZ is distantly related in sequence to eukaryotic tubulins, which also interact with GTP and are components of the eukaryotic cell cytoskeleton. By screening for the ability to bind radiolabeled nucleotides, we have identified a protein of the hyperthermophilic archaeon Pyrococcus woesei that interacts tightly and specifically with GTP. Furthermore, through screening an expression library of P. woesei genomic DNA, we have cloned the gene encoding this protein. Sequence comparisons reveal that the P. woesei GTP-binding protein is strikingly related in sequence to eubacterial FtsZ and is marginally more similar to eukaryotic tubulins than are bacterial FtsZ proteins. Phylogenetic analyses reinforce the notion that there is an evolutionary linkage between FtsZ and tubulins. These findings suggest that the archaeal cell division apparatus may be fundamentally similar to that of Bacteria and lead us to consider the evolutionary relationships between Archaea, Bacteria, and Eucarya.

NMR Spectroscopy of Multi-domain Proteins : Immunoglobulin-like Domains of Human Filamin A

Proteins are complex biomacromolecules playing fundamental roles in the physiological processes of all living organisms. They function as structural units, enzymes, transporters, process regulators, and signal transducers. Defects in protein functions often derive from genetic mutations altering the protein structure, and impairment of essential protein functions manifests itself as pathological conditions. Proteins operate through interactions, and all protein functions depend on protein structure. In order to understand biological mechanisms at the molecular level, one has to know the structures of the proteins involved. This thesis covers structural and functional characterization of human filamins. Filamins are actin-binding and -bundling proteins that have numerous interaction partners. In addition to their actin-organizing functions, filamins are also known to have roles in cell adhesion and locomotion, and to participate in the logistics of cell membrane receptors, and in the coordination of intracellular signaling pathways. Filamin mutations in humans induce severe pathological conditions affecting the brain, bones, limbs, and the cardiovascular system. Filamins are large modular proteins composed of an N-terminal actin-binding domain and 24 consecutive immunoglobulin-like domains (IgFLNs). Nuclear magnetic resonance (NMR) spectroscopy is a versatile method of gaining insight into protein structure, dynamics and interactions. NMR spectroscopy was employed in this thesis to study the atomic structure and interaction mechanisms of C-terminal IgFLNs, which are known to house the majority of the filamin interaction sites. The structures of IgFLN single-domains 17 and 23 and IgFLN domain pairs 16-17 and 18-19 were determined using NMR spectroscopy. The structures of domain pairs 16 17 and 18 19 both revealed novel domain domain interaction modes of IgFLNs. NMR titrations were employed to characterize the interactions of filamins with glycoprotein Ibα, FilGAP, integrin β7 and dopamine receptors. Domain packing of IgFLN domain sextet 16 21 was further characterized using residual dipolar couplings and NMR relaxation analysis. This thesis demonstrates the versatility and potential of NMR spectroscopy in structural and functional studies of multi-domain proteins.

Fast Lattice Green's Function Methods for Viscous Incompressible Flows on Unbounded Domains

In this thesis, a collection of novel numerical techniques culminating in a fast, parallel method for the direct numerical simulation of incompressible viscous flows around surfaces immersed in unbounded fluid domains is presented. At the core of all these techniques is the use of the fundamental solutions, or lattice Green’s functions, of discrete operators to solve inhomogeneous elliptic difference equations arising in the discretization of the three-dimensional incompressible Navier-Stokes equations on unbounded regular grids. In addition to automatically enforcing the natural free-space boundary conditions, these new lattice Green’s function techniques facilitate the implementation of robust staggered-Cartesian-grid flow solvers with efficient nodal distributions and fast multipole methods. The provable conservation and stability properties of the appropriately combined discretization and solution techniques ensure robust numerical solutions. Numerical experiments on thin vortex rings, low-aspect-ratio flat plates, and spheres are used verify the accuracy, physical fidelity, and computational efficiency of the present formulations.

A topological algorithm for identification of structural domains of proteins

Background: Identification of the structural domains of proteins is important for our understanding of the organizational principles and mechanisms of protein folding, and for insights into protein function and evolution. Algorithmic methods of dissecting protein of known structure into domains developed so far are based on an examination of multiple geometrical, physical and topological features. Successful as many of these approaches are, they employ a lot of heuristics, and it is not clear whether they illuminate any deep underlying principles of protein domain organization. Other well-performing domain dissection methods rely on comparative sequence analysis. These methods are applicable to sequences with known and unknown structure alike, and their success highlights a fundamental principle of protein modularity, but this does not directly improve our understanding of protein spatial structure.

The effect of teachers trained in a fundamental movement skills programme on children’s self-perceptions and motor competence

Perceived and actual motor competence are hypothesized to have potential links to children and young people’s physical activity (PA) levels with a potential consequential link to long-term health. In this cross-sectional study, Harter’s (1985, Manual for the Self-perception Profile for Children. Denver, CO: University of Denver) Competency Motivation-based framework was used to explore whether a group of children taught, during curriculum time, by teachers trained in the Fundamental Movement Skills (FMS) programme, scored higher on self-perception and on core motor competencies when compared to children whose teachers had not been so trained. One hundred and seventy seven children aged 7–8 years participated in the study. One hundred and seven were taught by FMS-trained teachers (FMS) and the remaining 70 were taught by teachers not trained in the programme (non-FMS). The Harter Self-Perception Profile for Children assessed athletic competence, scholastic competence, global self-worth and social acceptance. Three core components of motor competence (body management, object control and locomotor skills) were assessed via child observation. The FMS group scored higher on all the self-perception domains (p < 0.05). Statistically significant differences were found between the schools on all of the motor tasks (p < 0.05). The relationships between motor performance and self-perception were generally weak and non-significant. Future research in schools and with teachers should explore the FMS programme’s effect on children’s motor competence via a longitudinal approach.

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.

Usos não-convencionais da vírgula em textos de alunos de quinta série/sexto ano do ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Distúrbios vocais, estresse e condições de trabalho e associação entre o tempo máximode fonação e a regulação autonômica cardíaca em professores de educação física do ensino fundamental de escolas públicas de Marília (SP)

Pós-graduação em Fonoaudiologia - FFC

Saberes profissionais do professor de matemática: focalizando o professor e a álgebra no ensino fundamental

Pós-graduação em Educação - FCT

Segmentações não-convencionais de palavra nos quatro últimos anos do ensino fundamental: um estudo longitudinal

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

The Fundamental Gap For Hyperbolic Triangles

In 1983, M. van den Berg made his Fundamental Gap Conjecture about the difference between the first two Dirichlet eigenvalues (the fundamental gap) of any convex domain in the Euclidean plane. Recently, progress has been made in the case where the domains are polygons and, in particular, triangles. We examine the conjecture for triangles in hyperbolic geometry, though we seek an for an upper bound for the fundamental gap rather than a lower bound.

Analysis of Lim1 LIM domains in mouse development

Transcriptional regulation is fundamental for the precise development of all organisms. Through tight regulation, necessary genes are activated at proper spatial and temporal patterns, while unnecessary genes are repressed. A large family of regulator proteins that have been demonstrated to be involved in various developmental processes by activation and repression of target genes is the homeodomain family of proteins. To date, the function of many of these homeoproteins has been elucidated in diverse species. However, the molecular mechanism underlying the function of these proteins has not been fully understood. In this study, the molecular mechanism of the function of a LIM-homeoprotein, Lim1, was examined. In addition to the homeodomain, Lim1 contains two LIM domains that are highly conserved among species. This high conservation along with data from in vitro studies on Xenopus Lim1 suggests that the LIM domains might be important for the function of Lim1 as a transcriptional regulator. Here, the functional importance of the LIM domains of Lim1 was determined by using a novel gene-targeting strategy in mouse embryonic stem (ES) cells. A cre-loxP system was used in conjunction with the unique genomic organization of Lim1 to obtain four types of mutant ES cell lines that would allow for the in vivo analysis of the function of both the LIM domains of Lim1 together and also singularly. These four mutant Lim1 alleles either contained base-pair changes at the LIM encoding exons that alters zinc-binding amino acids of the LIM domains or contained only exogenous loxP sequences in the first intron of Lim1, which serves as the control allele. These mutations in the LIM domains would presumably abolish the zinc-finger tertiary structure of the domain and thus render the domain non-functional. Mice carrying mutations at both the LIM domains of Lim1, L1L2, die around E10 without anterior head structures anterior to rhombomere 3, identical in phenotype to the Lim1 null mutants in spite of the presence of mutant Lim1 RNA. This result demonstrates that the integrity of both the LIM domains are essential for the function of Lim1. This is further supported by the phenotype of mice carrying mutation at only the second LIM domain of Lim1, L2. The L2 mice although still carrying one intact Lim1 LIM domain, also die in utero. The L2 mice die at varying times, from around E8 to E10 with anterior defects in addition to other axial defects which have yet to be fully characterized. The results of this study so far demonstrates that the integrity of both LIM domains are required for the function of Lim1. ^