Gravitational Lensing in the metric theory proposed by Sobouti

Recently, Y. Sobouti (2007) has provided a metric theory f(R) that can account for certain dynamical anomalies observed in spiral galaxies. Mendoza & Rosas-Guevara (2007) have shown that in this theory there is an extra-bending as compared to standard general relativity. In the present work we have developed in more specific detail this additional lensing effect and we have made evaluations of the alpha parameter used in the model adjusting the theory to observations in X-rays of 13 clusters of galaxies with gravitational lensing (Hoekstra (2007)).Comment: 7 pages, 2 figure

The possibility of determining open-cluster parameters from BVRI photometry

In the last decades we witnessed an increase in studies of open clusters of the Galaxy, especially because of the good determination for a wide range of values of parameters such as age, distance, reddening, and proper motion. The reliable determination of the parameters strongly depends on the photometry available and especially on the U filter, which is used to obtain the color excess E(B-V) through the color-color diagram (U-B) by (B-V) by fitting a zero age main-sequence. Owing to the difficulty of performing photometry in the U band, many authors have tried to obtain E(B-V) without the filter. But because of the near linearity of the color-color diagrams that use the other bands, combined with the fact that most fitting procedures are highly subjective (many done "by eye") the reliability of those results has always been questioned. Our group has recently developed, a tool that performs isochrone fitting in open-cluster photometric data with a global optimization algorithm, which removes the need to visually perform the fits and thus removes most of the related subjectivity. Here we apply our method to a set of synthetic clusters and two observed open clusters (Trumpler 1 and Melotte 105) using only photometry for the BVRI bands. Our results show that, considering the cluster structural variance caused only by photometric and Poisson sampling errors, our method is able to recover the synthetic cluster parameters with errors of less than 10% for a wide range of ages, distances, and reddening, which clearly demonstrates its potential. The results obtained for Trumpler 1 and Melotte 105 also agree well with previous literature values.Comment: 5 pages, 5 figures, accepted for publication in Astronomy&Astrophysic

Geometry of Banach spaces and biorthogonal systems

A separable Banach space X contains $\ell_1$ isomorphically if and only if X has a bounded wc_0^*-stable biorthogonal system. The dual of a separable Banach space X fails the Schur property if and only if X has a bounded wc_0^*-biorthogonal system

How Universal are the Young Cluster Sequences? - the Cases of LMC, SMC, M83 and the Antennae

Aims.Recently a new analysis of cluster observations in the Milky Way found evidence that clustered star formation may work under tight constraints with respect to cluster size and density, implying the presence of just two sequences of young massive cluster. These two types of clusters each expand at different rates with cluster age. Methods. Here we investigate whether similar sequences exist in other nearby galaxies. Results:We find that while for the extragalactic young stellar clusters the overall trend in the cluster-density scaling is quite comparable to the relation obtained for Galactic clusters, there are also possible difference. For the LMC and SMC clusters the densities are below the Galactic data points and/or the core radii are smaller than those of data points with comparable density. For M83 and the Antenna clusters the core radii are possibly comparable to the Galactic clusters but it is not clear whether they exhibit similar expansion speeds. These findings should serve as an incentive to perform more systematic observations and analysis to answer the question of a possible similarity between young galactic and extragalactic star clusters sequences.Comment: 6 pages, 4 figures, A&A in pres

The structure of Abell 1351: a bimodal galaxy cluster with peculiar diffuse radio emission

We aim to review the internal structure and dynamics of the Abell 1351 cluster, shown to host a radio halo with a quite irregular shape. Our analysis is based on radial velocity data for 135 galaxies obtained at the Telescopio Nazionale Galileo. We combine galaxy velocities and positions to select 95 cluster galaxy members and analyse the internal dynamics of the whole cluster. We also examine X-ray data retrieved from Chandra and XMM archives. We measure the cluster redshift, =0.325, the line-of-sight (LOS) velocity dispersion, \sigma_v~1500 km/s, and the X-ray temperature, kT~9 keV. From both X-ray and optical data independently, we estimate a large cluster mass, in the 1--4 $10^{15}$ M$_\odot$ range. We attribute the extremely high value of \sigma_v to the bimodality in the velocity distribution. We find evidence of a significant velocity gradient and optical 3D substructure. The X-ray analysis also shows many features in favour of a complex cluster structure, probably supporting an ongoing merger of substructures in Abell 1351. The observational scenario agrees with the presence of two main subclusters in the northern region, each with its brightest galaxy (BCG1 and BCG2), detected as the two most important X-ray substructures with a rest-frame LOS velocity difference of \Delta v~2500 km/s (in the rest frame) and probably being in large part aligned with the LOS. We conclude that Abell 1351 is a massive merging cluster. The details of the cluster structure allow us to interpret the quite asymmetric radio halo as a `normal' halo plus a southern relic, strongly supporting a previous suggestion based only on inspection of radio and preliminary X-ray data.Comment: 13 pages, 13 figures, 1 tabl

Use of horticultural practices in citriculture to survive Huanglongbing.

Huanglongbing (HLB) was first reported in Brazil in 2004 and had caused severe losses in the main producing regions, threatening the sustainability of the whole citrus chain. Current control strategies are based on the use of healthy nursery trees, inspection and systematic eradication of symptomatic plants, and chemical control of the insect vector

Proposições horticulturais à citricultura para a mitigação de efeitos do huanglongbing (HLB ou greening).

A citricultura é uma das principais atividades do agronegócio brasileiro, está presente em todas as regiões do país em diferentes ambientes de produção e é explorada por todos os tipos de produtores, muitos de base familiar. A presença da doença greening, constatada no Brasil em 2004, vem provocado perdas expressivas em importantes regiões produtoras e coloca em cheque a sustentabilidade da cadeia citrícola. Estratégias de controle atual se baseiam no uso de mudas sadias, inspeção e erradicação sistemática de plantas sintomáticas e controle químico do inseto vetor. Pesquisas vêm sendo conduzidas pela Embrapa e outras instituições brasileiras com o objetivo de alcançar a resistência ao HLB por melhoramento genético via biotecnologia. Mas, as limitações inerentes a essas ações determinam que proposições adicionais sejam consideradas para a mitigação de efeitos do HLB. Práticas horticulturais com possibilidade de emprego imediato na citricultura são apresentadas de forma a contribuir com o enfrentamento a essa doença. As proposições a seguir são discutidas: seleção de materiais tolerantes de ocorrência natural, mudança geográfica da produção, conceitos não usuais de mudas protegidas, plantas repelentes e atrativas, sistemas de produção de baixo ingresso, uso de elicitores de resistência, cultivo protegido, consorciação e mega-adensamento. A adoção das diferentes estratégias em combinação pode permitir a sustentabilidade da atividade até que sejam obtidas cultivares resistentes.Disponível em: Acesso em: 21 fev. 2011