Idempotency of linear combinations of an idempotent matrix and a t-potent matrix that commute

AbstractThis paper deals with idempotent matrices (i.e., A2=A) and t-potent matrices (i.e., Bt=B). When both matrices commute, we derive a list of all complex numbers c1 and c2 such that c1A+c2B is an idempotent matrix. In addition, the real case is also analyzed

CASP-12 as a measure of quality of life at older ages: comparing near and older elderly

It is well known that European governments face to an ageing society as result of the increasing life expectancy and the decreasing birth rates in recent decades. A growing part of the European population is living their “Third age”, and this new paradigm has become increasingly important and has become a major concern in public policy. It stands to reason that better conditions at these ages (health, economic status, happiness, family, etc.) surely influence this approach. The aim of this paper is to determinate the key factors that affect the Quality of Life (QoL) of the elderly in the European countries. Additionally, we try to identify if significant differences are resulted in QoL of the elderly in regions across Europe (southern, northern and eastern). We have used data from the most recent wave released in SHARE (Survey of Health, Ageing and Retirement in Europe, wave 7) for all European countries participants in the survey. Then, we used the SHARE version of the CASP-12 scale to determinate if there are significant discrepancies between European countries. Despcritive results shown significant differences raised in QoL of the elderly by regions across Europe (northern and eastern) if life satisfaction is self-reported. However, using CASP-12 as key indicator of quality of life and life satisfaction the results are more heterogenous.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

Non-parametric mass reconstruction of A1689 from strong lensing data with SLAP

We present the mass distribution in the central area of the cluster A1689 by fitting over 100 multiply lensed images with the non-parametric Strong Lensing Analysis Package (SLAP, Diego et al. 2004). The surface mass distribution is obtained in a robust way finding a total mass of 0.25E15 M_sun/h within a 70'' circle radius from the central peak. Our reconstructed density profile fits well an NFW profile with small perturbations due to substructure and is compatible with the more model dependent analysis of Broadhurst et al. (2004a) based on the same data. Our estimated mass does not rely on any prior information about the distribution of dark matter in the cluster. The peak of the mass distribution falls very close to the central cD and there is substructure near the center suggesting that the cluster is not fully relaxed. We also examine the effect on the recovered mass when we include the uncertainties in the redshift of the sources and in the original shape of the sources. Using simulations designed to mimic the data, we identify some biases in our reconstructed mass distribution. We find that the recovered mass is biased toward lower masses beyond 1 arcmin (150 kpc) from the central cD and that in the very center we may be affected by degeneracy problems. On the other hand, we confirm that the reconstructed mass between 25'' and 70'' is a robust, unbiased estimate of the true mass distribution and is compatible with an NFW profile.Comment: 11 pages, 12 figures. MNRAS submitted. A full resolution of the paper can be found in http://darwin.physics.upenn.edu/SLAP

Influence of single-neutron stripping on near-barrier ⁶He+²⁰⁸Pb and ⁸He+²⁰⁸Pb elastic scattering

The influence of single-neutron stripping on the near-barrier elastic scattering angular distributions for the 6,8He+208Pb systems is investigated through coupled reaction channels (CRC) calculations fitting recently published data to explore the differences in the absorptive potential found in the scattering of these two neutron-rich nuclei. The inclusion of the coupling reduces the elastic cross section in the Coulomb-nuclear interference region for 8He scattering, whereas for 6He its major impact is on the large-angle elastic scattering. The real and imaginary dynamic polarization potentials are obtained by inverting the CRC elastic scattering S-matrix elements. These show that the main absorptive features occur between 11 and 12 fm for both projectiles, while the attractive features are separated by about 1 fm, with their main structures occurring at 10.5 fm for 6He and 11.5 fm for 8He

Searching for galaxy clusters in the VST-KiDS Survey

We present the methods and first results of the search for galaxy clusters in the Kilo Degree Survey (KiDS). The adopted algorithm and the criterium for selecting the member galaxies are illustrated. Here we report the preliminary results obtained over a small area (7 sq. degrees), and the comparison of our cluster candidates with those found in the RedMapper and SZ Planck catalogues; the analysis to a larger area (148 sq. degrees) is currently in progress. By the KiDS cluster search, we expect to increase the completeness of the clusters catalogue to z = 0.6-0.7 compared to RedMapper.Comment: 5 pages, 4 figures, to be published in the Proceedings of the Conference "The Universe of Digital Sky Surveys", Naples, November 25-28 201

Enfermedad periodontal en pacientes adolescentes con síndrome de Down. Presentación de caso

ResumenEl síndrome de Down o trisomía 21 es la alteración genética más frecuente en el ser humano; uno de cada 600-700 recién nacidos vivos es afectado por este síndrome. Éste se caracteriza por la presencia de un cromosoma adicional en el par 21, el cual provoca disminución generalizada en el crecimiento y discapacidad intelectual. Diversas manifestaciones craneofaciales y bucales han sido descritas en la literatura. El principal padecimiento bucal reportado en este grupo de pacientes es la enfermedad periodontal.ObjetivoEstablecer cuidados bucales preventivos en el desarrollo de la enfermedad periodontal en pacientes adolescentes con síndrome de Down.Presentación del casoPaciente indígena masculino de 15 años de edad con trisomía 21, bilingüe. Presenta cardiopatía congénita, hipertensión pulmonar y síndrome nefrótico, así como erupción ectópica y ausencias congénitas dentales, oclusión clase III de Angle, mordida cruzada unilateral anterior y posterior, respiración bucal, eversión labial, lengua y labios fisurados, clinodactilia y gingivitis localizada. El manejo de conducta se llevó a cabo a través de la técnica «decir-mostrar-hacer» y control de voz. El tratamiento inicial consistió en técnica de cepillado de barrido asistido por los padres, uso del hilo dental, CPDB (Dento Bacterial Plaque Control) (100%) y aplicación tópica de barniz de fluoruro. Se recomendó a los padres la aplicación en el hogar de un gel bioadhesivo (Perioxidin®) para la rehabilitación oral.ConclusionesEl aspecto más relevante fue la disminución de la cantidad de placa dentobacteriana reportada en controles posteriores (40%).AbstractDown’s syndrome or trisomy 21 is man’s most frequent genetic disorder. It affects one out of 600-700 live births. It is characterized by the presence of an additional chromosome at the 21 pair which elicits generalized decrease of growth as well as intellectual disability. In scientific literature there are many reports of craniofacial and oral manifestations of this disorder. Chief oral condition reported in this group of patients is periodontal disease.ObjectiveEstablishment of preventive oral care for the development of periodontal disease in adolescent patients afflicted with Down’s syndrome.Case presentation15 year old Mexican-Indian male patient with trisomy 21. The patient was bilingual, afflicted with congenital heart disease, pulmonary hypertension and nephrotic syndrome. The patient equally presented ectopic dental eruption as well as congenital dental absences, Angle’s class III occlusion, anterior and posterior unilateral crossbite, oral respiration, labial eversion, fissured tongue and lips, clinodactyly and localized gingivitis. Behavior management was achieved with the «show-tell-do» technique alongside with voice control. Initial treatment consisted on sweeping brushing technique with parental assistance, use of dental floss (Dento Bacterial Plaque Control [DBPC]) (100%) as well as topical application of fluoride varnish. It was recommended to the parents they should use home applications of bioadhesive gel (Perioxidin®). After these measures, oral rehabilitation was undertaken.ConclusionsThe most relevant aspect of the treatment was the decrease (40%) in bacterial plaque reported in later control visits

The ALHAMBRA photometric system

This paper presents the characterization of the optical range of the ALHAMBRA photometric system, a 20 contiguous, equal-width, medium-band CCD system with wavelength coverage from 3500A to 9700A. The photometric description of the system is done by presenting the full response curve as a product of the filters, CCD and atmospheric transmission curves, and using some first and second order moments of this response function. We also introduce the set of standard stars that defines the system, formed by 31 classic spectrophotometric standard stars which have been used in the calibration of other known photometric systems, and 288 stars, flux calibrated homogeneously, from the Next Generation Spectral Library (NGSL). Based on the NGSL, we determine the transformation equations between Sloan Digital Sky Survey (SDSS) ugriz photometry and the ALHAMBRA photometric system, in order to establish some relations between both systems. Finally we develop and discuss a strategy to calculate the photometric zero points of the different pointings in the ALHAMBRA project.Comment: Astronomical Journal on the 14th of January 201