Construction of signal sets from quotient rings of the quaternion orders associated with arithmetic fuchsian groups

This paper aims to construct signal sets from quotient rings of the quaternion over a real number field associated with the arithmetic Fuchsian group Γ 4g , where g is the genus of the associated surface. These Fuchsian groups consist of the edge-pairing isometries of the regular hyperbolic polygons (fundamental region) P 4g , which tessellate the hyperbolic plane D 2 . The corresponding tessellations are the self-dual tessellations {4g, 4g}. Knowing the generators of the quaternion orders which realize the edge-pairings of the polygons, the signal points of the signal sets derived from the quotient rings of the quaternion orders are determined. It is shown by examples the relevance of adequately selecting the ideal in the maximal order to construct the signal sets satisfying the property of geometrical uniformity. The labeling of such signals is realized by using the mapping by set partitioning concept to solve the corresponding Diophantine equations (extreme quadratic forms). Trellis coded modulation and multilevel codes whose signal sets are derived from quotient rings of quaternion orders are considered possible applications8196050196061CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP305656/2015-52013/25977-

Algebraic and Geometric Characterizations Related to the Quantization Problem of the C2,8C_{2,8} Channel

In this paper, we consider the steps to be followed in the analysis and interpretation of the quantization problem related to the $C_{2,8}$ channel, where the Fuchsian differential equations, the generators of the Fuchsian groups, and the tessellations associated with the cases $g=2$ and $g=3$, related to the hyperbolic case, are determined. In order to obtain these results, it is necessary to determine the genus $g$ of each surface on which this channel may be embedded. After that, the procedure is to determine the algebraic structure (Fuchsian group generators) associated with the fundamental region of each surface. To achieve this goal, an associated linear second-order Fuchsian differential equation whose linearly independent solutions provide the generators of this Fuchsian group is devised. In addition, the tessellations associated with each analyzed case are identified. These structures are identified in four situations, divided into two cases $(g=2$ and $g=3)$, obtaining, therefore, both algebraic and geometric characterizations associated with quantizing the $C_{2,8}$ channel.Comment: 31 pages, 9 figure

Chromosome instability and oxidative stress markers in patients with ataxia telangiectasia and their parents

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Relato e considerações sobre o desenvolvimento de uma ontologia para avaliação de sites da área de saúde

Este artigo descreve desenvolvimento de uma ontologia que visa avaliar a qualidade de sites/páginas com assuntos relacionados à área de saúde. O processo de desenvolvimento da ontologia foi realizado ao longo do segundo semestre de 2008 pelos alunos da disciplina CMP234 - Modelagem Conceitual e Ontologia do Programa de Pós-Graduação do Instituto de Informática da Universidade Federal do Rio Grande do Sul, ministrada pelo Professor Dr. José Palazzo Moreira de Oliveira. O desenvolvimento da ontologia foi feito com base na Metodologia 101 [1]. Assim, estrutura do documento observa, em grande parte, as etapas da Metodologia 101 e procura manter grande parte das informações e observações feitas ao longo do desenvolvimento visando o uso destas em futuras versões da ontologia. Para o desenvolvimento da ontologia foi utilizado o editor Protégé. As instâncias da ontologia foram criadas mediante extração dos dados dos sites/páginas, extração esta que foi feita manualmente pelos alunos da disciplina

Search for dark matter produced in association with bottom or top quarks in √s = 13 TeV pp collisions with the ATLAS detector

A search for weakly interacting massive particle dark matter produced in association with bottom or top quarks is presented. Final states containing third-generation quarks and miss- ing transverse momentum are considered. The analysis uses 36.1 fb−1 of proton–proton collision data recorded by the ATLAS experiment at √s = 13 TeV in 2015 and 2016. No significant excess of events above the estimated backgrounds is observed. The results are in- terpreted in the framework of simplified models of spin-0 dark-matter mediators. For colour- neutral spin-0 mediators produced in association with top quarks and decaying into a pair of dark-matter particles, mediator masses below 50 GeV are excluded assuming a dark-matter candidate mass of 1 GeV and unitary couplings. For scalar and pseudoscalar mediators produced in association with bottom quarks, the search sets limits on the production cross- section of 300 times the predicted rate for mediators with masses between 10 and 50 GeV and assuming a dark-matter mass of 1 GeV and unitary coupling. Constraints on colour- charged scalar simplified models are also presented. Assuming a dark-matter particle mass of 35 GeV, mediator particles with mass below 1.1 TeV are excluded for couplings yielding a dark-matter relic density consistent with measurements