Sedenions of Cayley-Dickson and the Cauchy-Riemann like relations

This work is an extension to sedenions of the Cauchy-Riemann relations, following a similar earlier construction made by one of the authors (M. Borges) to quaternions and octonions, see [1], [2], [3]. © 2011 Academic Publications.

Liouville's theorem and power series for quaternionic functions

In recent years quaternionic functions have been an intense and prosperous object of research, and important results were determined [1]-[6]. Some of these results are similar to well known cases in one complex variable, op. cit. [5], [6]. In this paper the hypercomplex expansion of a function in a power series as well as determination of a Liouville's type theorem have been investigated to the quaternionic functions. In this case, it is observed that the Liouville's type theorem is true for second order derivatives, which differs from its classical version. © 2011 Academic Publications, Ltd.

Geometrical wave equation and the cauchy-like theorem for octonions

Riemann surfaces, cohomology and homology groups, Cartan's spinors and triality, octonionic projective geometry, are all well supported by Complex Structures [1], [2], [3], [4]. Furthermore, in Theoretical Physics, mainly in General Relativity, Supersymmetry and Particle Physics, Complex Theory Plays a Key Role [5], [6], [7], [8]. In this context it is expected that generalizations of concepts and main results from the Classical Complex Theory, like conformal and quasiconformal mappings [9], [10] in both quaternionic and octonionic algebra, may be useful for other fields of research, as for graphical computing enviromment [11]. In this Note, following recent works by the autors [12], [13], the Cauchy Theorem will be extended for Octonions in an analogous way that it has recentely been made for quaternions [14]. Finally, will be given an octonionic treatment of the wave equation, which means a wave produced by a hyper-string with initial conditions similar to the one-dimensional case.

Histological and immunohistochemical analyses of the chronology of healing process after immediate tooth replantation in incisor rat teeth

Dental tissues have special characteristics, and its regenerative capacity is noteworthy. However, understanding the circumstances that lead to regeneration is challenging. In this study, the chronology of the healing process after immediate replantation of rat incisor teeth was examined by histological and immunohistochemical analyses within a 60-day period. Thirty-six male Wistar rats had their maxillary right incisors extracted and replanted after 15min in saline storage. The rats were sacrificed immediately 3, 7, 15, 28, and 60days after replantation. The histological analysis showed rupture of the periodontal ligament and formation of a blood clot, which started being replaced by a connective tissue after 3days. At 7days, the gingival mucosa epithelium was reinserted and areas of root resorption could be seen. At 15days, the periodontal ligament was repaired. At 3days, the pulp presented an absence of the odontoblast layer, which started being replaced by a connective tissue. This tissue suffered gradual calcification, filling the root canal at 28 and 60days. The root ends were closed. The immunohistochemical analysis revealed greater expression of OP, OPG, and RANK proteins in the initial periods (0 and 3days), while TRAP expression predominated at 28 and 60days (P<0.05). In conclusion, in delayed tooth replantation, there is great new bone formation activity in the earlier periods of the repair process, while a predominance of bone resorption and remodeling is observed in the more advanced periods. © 2012 John Wiley & Sons A/S.

Crescimento da grama bermudas sob diferentes lâminas de irrigação

The objective of the present study was to analyze the most appropriate water depth for maintaining a good quality of Bermudas Grass (Cynodon dactylon) for soccer fields while saving water and electrical resources. Four treatments were used: T1 - irrigated with a water depth of 50% of evapotranspiration (ETo), T2 - irrigated with a water depth of 75% of ETo, T3 - irrigated with a water depth of 100% of ETo and T4 - irrigated with a water depth of 150% of ETo, all treatments were irrigated daily. The reference ETo was obtained by the Penman-Monteith method. The study was conducted in an experimental area of the Instituto Federal de Educação, Ciência e Tecnologia do Triângulo Mineiro - Campus Uberaba, Uberaba, Minas Gerais, Brazil, from June to September 2010 and from January to March 2011. Three evaluations of the variables were performed during the experimental period. The samples were obtained with the help of a cylindrical extractor with 10 cm in diameter and 30 cm in height. In each sample height and dry organic matter (leaf, root and organic material) were analyzed. The experimental design was randomized block with four treatments in five blocks. No significant differences were observed for dry matter and height (roots and organic material). The best results were those for T4 which obtained the greatest height.

Effect of the treatment of root surface-adhered necrotic periodontal ligament with propolis or fluoride in delayed rat tooth replantation

Objectives: The purpose of this study was to evaluate the application of 15 % propolis and 2 % acidulated-phosphate sodium fluoride solutions on the root surface-adhered necrotic cemental periodontal ligament in delayed tooth replantation. Materials and methods: Thirty Wistar rats (Rattus norvegicus, albinus) had their right upper incisor extracted and maintained in dry storage for 60 min. After this period, the dental papilla, enamel organ, and pulp tissue were removed, and the animals were randomly assigned to three groups: group I = immersion in saline for 10 min; group II = immersion in a 2 % acidulated-phosphate sodium fluoride solution for 10 min; and group III = immersion in a 15 % propolis and propylene glycol solution for 10 min. The root canals were filled with a calcium hydroxide paste and the teeth were replanted. Results: Inflammatory resorption, replacement resorption, and ankylosis were observed in all groups without a statistically significant difference (p > 0.05) among them. Conclusions: Under the tested conditions, the application of fluoride or propolis on root surface-adhered necrotic periodontal ligament did not favor the healing process in delayed tooth replantation. © 2013 Springer-Verlag Berlin Heidelberg.

Consulta de enfermagem como instrumento de avaliação do protocolo assistencial de gastrostomia endóscópica percutânea

Pós-graduação em Bases Gerais da Cirurgia - FMB

Estudo das alterações funcionais respiratórias em pacientes dubmetidos à cirurgia videolaparoscópica de válvula anti-refluxo

Pós-graduação em Bases Gerais da Cirurgia - FMB

Espaçamento entre fileiras e população de plantas para cultivares de mamona de porte baixo na safra de verão e safrinha

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

Maturação induzida, alterações fisiológicas, produtividade e qualidade tecnológica da cana-de-açúcar (Saccharum officinarum L.)

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

Práticas pedagógicas e a formação identitária da estudante negra

Pós-graduação em Ciências Sociais - FFC

Efeito de dietas e altura da coluna d’água na sobrevivência de larvas de Betta splendens e o aporte de nitrogênio e fósforo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Ciclo reprodutivo da tabarana, Salminus hilarii (Valenciennes, 1849) (Characidae, Salmininae) na região do baixo rio Sorocaba, SP

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Ictiofauna nos trechos médio e baixo rio Pardo, Alto Paraná: inventário

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O Bumba Meu Boi do Grupo de Danças Brasileiras Gracinha: uma experiência de arte-educação

Pós-graduação em Artes - IA