On the fast computation of the weight enumerator polynomial and the tt value of digital nets over finite abelian groups

In this paper we introduce digital nets over finite abelian groups which contain digital nets over finite fields and certain rings as a special case. We prove a MacWilliams type identity for such digital nets. This identity can be used to compute the strict $t$-value of a digital net over finite abelian groups. If the digital net has $N$ points in the $s$ dimensional unit cube $[0,1]^s$, then the $t$-value can be computed in $\mathcal{O}(N s \log N)$ operations and the weight enumerator polynomial can be computed in $\mathcal{O}(N s (\log N)^2)$ operations, where operations mean arithmetic of integers. By precomputing some values the number of operations of computing the weight enumerator polynomial can be reduced further

On a functional satisfying a weak Palais-Smale condition

In this paper we study a quasilinear elliptic problem whose functional satisfies a weak version of the well known Palais-Smale condition. An existence result is proved under general assumptions on the nonlinearities.Comment: 18 page

Disk galaxies with broken luminosity profiles from cosmological simulations

We present SPH cosmological simulations of the formation of three disk galaxies with a detailed treatment of chemical evolution and cooling. The resulting galaxies have properties compatible with observations: relatively high disk-to-total ratios, thin stellar disks and good agreement with the Tully-Fisher and the luminosity-size relations. They present a break in the luminosity profile at 3.0 +- 0.5 disk scale lengths, while showing an exponential mass profile without any apparent breaks, in line with recent observational results. Since the stellar mass profile is exponential, only differences in the stellar populations can be the cause of the luminosity break. Although we find a cutoff for the star formation rate imposed by a density threshold in our star formation model, it does not coincide with the luminosity break and is located at 4.3 +- 0.4 disk scale lengths, with star formation going on between both radii. The color profiles and the age profiles are "U-shaped", with the minimum for both profiles located approximately at the break radius. The SFR to stellar mass ratio increases until the break, explaining the coincidence of the break with the minimum of the age profile. Beyond the break we find a steep decline in the gas density and, consequently, a decline in the SFR and redder colors. We show that most stars (64-78%) in the outer disk originate in the inner disk and afterwards migrate there. Such stellar migrations are likely the main origin of the U-shaped age profile and, therefore, of the luminosity break.Comment: 8 pages, 4 figures. Accepted by ApJ

Wavelength calibration of the JWST-MIRI medium resolution spectrometer

We present the wavelength and spectral resolution characterisation of the Integral Field Unit (IFU) Medium Resolution Spectrometer for the Mid-InfraRed Instrument (MIRI), to fly onboard the James Webb Space Telescope in 2014. We use data collected using the Verification Model of the instrument and develop an empirical method to calibrate properties such as wavelength range and resolving power in a portion of the spectrometer's full spectral range (5-28 microns). We test our results against optical models to verify the system requirements and combine them with a study of the fringing pattern in the instrument's detector to provide a more accurate calibration. We show that MIRI's IFU spectrometer will be able to produce spectra with a resolving power above R=2800 in the wavelength range 6.46-7.70 microns, and that the unresolved spectral lines are well fitted by a Gaussian profile.Comment: 12 pages, submitted to SPIE Proceedings vol. 7731, Space Telescopes and Instrumentation 2010: Optical, Infrared, and Millimeter Wav

Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary

Let (M,g) be a smooth compact, n dimensional Riemannian manifold, n=3,4 with smooth n-1 dimensional boundary. We search the positive solutions of the singularly perturbed Klein Gordon Maxwell Proca system with homogeneous Neumann boundary conditions or for the singularly perturbed Klein Gordon Maxwell system with mixed Dirichlet Neumann homogeneous boundary conditions. We prove that stable critical points of the mean curvature of the boundary generates solutions when the perturbation parameter is sufficiently small.Comment: arXiv admin note: text overlap with arXiv:1410.884

Associações entre exposição à mídia eletrônica e comunicação na primeira infância: uma revisão integrativa

Purpose: to evaluate the amount of average use that infants make of electronic media, and to observe how it is associated with early childhood communication through an integrative review of the last 10 years (2010-2020). Topic: screen use during early childhood and its associations with verbal and pre-verbal communication skills. Development: verbal and non-verbal communication in the early years are essential skills, since they predict the later development of other cognitive skills and academic performance. Given that exposure to technological devices has increased in recent years, both in adults and in early childhood, it becomes important to review studies on this subject. We found 15 studies that met the inclusion criteria. In the first three years of life, on average the use of technological devices was 1 to 3 hours a day, they were negatively associated with the development of communication. However, it is necessary to take into account whether the activity is accompanied by an adult, the educational level, and the type of content that is consumed. Conclusions: it is necessary to carry out more research in the Latin American context, taking into account the diversity of electronic devices and content that we currently have.Propósito: evaluar la cantidad de uso promedio que los infantes realizan de los medios electrónicos, y observar cómo se asocian con la comunicación infantil temprana a través de una revisión integrativa de los últimos 10 años (2010-2020). Tema: el uso de pantallas durante la infancia temprana y sus asociaciones con habilidades de comunicación verbales y preverbales. Desarrollo: la comunicación verbal y no verbal en los primeros años son habilidades fundamentales, ya que predicen el desarrollo posterior de otras habilidades cognitivas y del rendimiento académico. Siendo que la exposición a dispositivos tecnológicos ha aumentado en los últimos años, tanto en adultos como en la infancia temprana, se vuelve importante revisar estudios sobre esta temática. Se encontraron 15 estudios que cumplían con los criterios de inclusión. En los primeros tres años de vida, en promedio el uso de dispositivos tecnológicos fue de 1 a 3 horas diarias, y los mismos se asociaron de forma negativa con el desarrollo de la comunicación. Sin embargo, es necesario tener en cuenta si la actividad está acompañada por un adulto, el nivel educativo, y el tipo de contenido que se consume. Conclusiones: es necesario realizar más investigaciones en el contexto latinoamericano, teniendo en cuenta la diversidad de dispositivos electrónicos y contenidos con los que contamos en la actualidad.Objetivo: avaliar o uso médio que os bebês fazem da mídia eletrônica e observar como ela está associada à comunicação na primeira infância por meio de uma revisão integrativa dos últimos 10 anos (2010-2020). Tema: uso da tela na primeira infância e suas associações com habilidades de comunicação verbal e pré-verbal. Desenvolvimento: a comunicação verbal e não verbal nos primeiros anos são habilidades essenciais, pois predizem o desenvolvimento posterior de outras habilidades cognitivas e desempenho acadêmico. Tendo em vista que a exposição a dispositivos tecnológicos tem aumentado nos últimos anos, tanto em adultos quanto na primeira infância, torna-se importante revisar estudos sobre esse assunto. Encontramos 15 estudos que atenderam aos critérios de inclusão. Nos primeiros três anos de vida, em média, o uso de dispositivos tecnológicos era de 1 a 3 horas por dia, eles se associaram negativamente ao desenvolvimento da comunicação. No entanto, é necessário levar em consideração se a atividade é acompanhada por um adulto, o nível de escolaridade e o tipo de conteúdo que é consumido. Conclusões: é necessário realizar mais pesquisas no contexto latino-americano, levando em consideração a diversidade de dispositivos eletrônicos e conteúdos que temos atualmente

Analysis of BRCA1 and RAD51C promoter methylation in italian families at high-risk of breast and ovarian cancer

Previous studies on breast and ovarian carcinoma (BC and OC) revealed constitutional BRCA1 and RAD51C promoter hypermethylation as epigenetic alterations leading to tumor predisposition. Nevertheless, the impact of epimutations at these genes is still debated. One hundred and eight women affected by BC, OC, or both and considered at very high risk of carrying BRCA1 germline mutations were studied. All samples were negative for pathogenic variants or variants of uncertain significance at BRCA testing. Quantitative BRCA1 and RAD51C promoter methylation analyses were performed by Epityper mass spectrometry on peripheral blood samples and results were compared with those in controls. All the 108 analyzed cases showed methylation levels at the BRCA1/RAD51C promoter comparable with controls. Mean methylation levels (\ub1 stdev) at the BRCA1 promoter were 4.3% (\ub1 1.4%) and 4.4% (\ub1 1.4%) in controls and patients, respectively (p > 0.05; t-test); mean methylation levels (\ub1 stdev) at the RAD51C promoter were 4.3% (\ub1 0.9%) and 3.7% (\ub1 0.9%) in controls and patients, respectively (p > 0.05; t-test). Based on these observations; the analysis of constitutional methylation at promoters of these genes does not seem to substantially improve the definition of cancer risks in patients. These data support the idea that epimutations represent a very rare event in high-risk BC/OC populations

Stable standing waves for a class of nonlinear Schroedinger-Poisson equations

We prove the existence of orbitally stable standing waves with prescribed $L^2$-norm for the following Schr\"odinger-Poisson type equation \label{intro} %{%{ll} i\psi_{t}+ \Delta \psi - (|x|^{-1}*|\psi|^{2}) \psi+|\psi|^{p-2}\psi=0 \text{in} \R^{3}, %-\Delta\phi= |\psi|^{2}& \text{in} \R^{3},%. when $p\in \{8/3\}\cup (3,10/3)$. In the case $3<p<10/3$ we prove the existence and stability only for sufficiently large $L^2$-norm. In case $p=8/3$ our approach recovers the result of Sanchez and Soler \cite{SS} %concerning the existence and stability for sufficiently small charges. The main point is the analysis of the compactness of minimizing sequences for the related constrained minimization problem. In a final section a further application to the Schr\"odinger equation involving the biharmonic operator is given

Non-radial sign-changing solutions for the Schroedinger-Poisson problem in the semiclassical limit

We study the existence of nonradial sign-changing solutions to the Schroedinger-Poisson system in dimension N>=3. We construct nonradial sign-changing multi-peak solutions whose peaks are displaced in suitable symmetric configurations and collapse to the same point. The proof is based on the Lyapunov-Schmidt reduction