Property A and exactness of the uniform Roe algebra

In this short note, prepared for the volume of conjectures to celebrate Guido Mislin's retirement, we outline the conjecture that a uniformly discrete bounded geometry metric space X has property A if and only if the uniform Roe algebra C^?(X ) is exact

Ureteropelvic junction obstruction caused by metastatic cholangiocarcinoma

We describe the rare case of a 61-year-old female with right ureteropelvic junction (UPJ) obstruction caused by metastatic cholangiocarcinoma. Her past medical history was notable for cholangiocarcinoma treated with neoadjuvant chemoradiation and two orthotopic liver transplants six years earlier. Urology was consulted when she presented with flank pain and urinary tract infection. Diagnostic workup demonstrated right UPJ obstruction. She was managed acutely with percutaneous nephrostomy. She subsequently underwent robotic pyeloplasty and intrinsic obstruction of the UPJ was discovered. Histological examination revealed adenocarcinoma, consistent with systemic recurrence of the patient\u27s known cholangiocarcinoma

Reactivity of the O2+·(H2O)n and NO+·(H2O)n cluster ions in the D-region of the ionosphere

The protonated water clusters present in the D-region of the ionosphere have been postulated to be formed from cluster ions such as O2+·(H2O)n and NO+·(H2O)n, although the detailed mechanism of the underlying reactions is not understood. Second order Møller–Plesset perturbation theory based Born–Oppenheimer ab initio molecular dynamics (AIMD) simulations of the reactions of the O2+·(H2O)n and NO+·(H2O)n cluster ions to form protonated water clusters reveal different mechanisms for the O2+ and NO+ based ions. AIMD simulations of O2+·(H2O)n=2–5 with initial velocities of the atoms sampled from the Maxwell–Boltzmann distribution at 220 K show that following charge transfer, a reaction to form a protonated water cluster and OH occurs rapidly where the neutral O2 molecule is just a spectator. In contrast, the reaction of NO+·(H2O)n=4,5 has been hypothesised to involve an intracluster reaction, but no reaction is observed in AIMD simulations using thermal initial velocities. However, it is shown that reactions to form protonated water clusters do occur in simulations when a water molecule collides with a NO+·(H2O)4 cluster

Using Two Different Approaches for the Creation of Poly(3-Hexylthiophene)-Functionalized Siloxane Nanoparticles for Organic-Based Solar Cells

Poly(3-hexylthiophene)-functionalized silsesquioxane nanoparticles were prepared from direct hydrolysis and condensation of P3HT-silane precursor using “grafting from” and “grafting to” methods. The size, shape, and surface morphology of these polymer grafts particles were visualized using transmission electron microscopy and scanning electron microscopy. Their compositions confirmed by FTIR, thermogravimetric analysis and elemental analysis. The XRD analysis revealed the polymer orientation and packing pattern of the nanocomposites, indicating the highly ordered lamella stacks of P3HT polymer chains. The photovoltaic performance of the blends of P3HT-nanohybrid with the C60 derivative PCBM was evaluated upon annealation in different temperatures, ranging from 50°C to 150 °C. The power conversion efficiency of the best test device was 2.46% (3.8%) for the device configuration of ITO/PEDOT:PSS/P3HT-NPs:PCBM/LiF/Al

Sparse Plus Low Rank Matrix Decomposition: A Discrete Optimization Approach

We study the Sparse Plus Low-Rank decomposition problem (SLR), which is the problem of decomposing a corrupted data matrix into a sparse matrix of perturbations plus a low-rank matrix containing the ground truth. SLR is a fundamental problem in Operations Research and Machine Learning which arises in various applications, including data compression, latent semantic indexing, collaborative filtering, and medical imaging. We introduce a novel formulation for SLR that directly models its underlying discreteness. For this formulation, we develop an alternating minimization heuristic that computes high-quality solutions and a novel semidefinite relaxation that provides meaningful bounds for the solutions returned by our heuristic. We also develop a custom branch-and-bound algorithm that leverages our heuristic and convex relaxations to solve small instances of SLR to certifiable (near) optimality. Given an input $n$-by-$n$ matrix, our heuristic scales to solve instances where $n=10000$ in minutes, our relaxation scales to instances where $n=200$ in hours, and our branch-and-bound algorithm scales to instances where $n=25$ in minutes. Our numerical results demonstrate that our approach outperforms existing state-of-the-art approaches in terms of rank, sparsity, and mean-square error while maintaining a comparable runtime

Forward modelling low-spectral-resolution Cassini/CIRS observations of Titan

The Composite InfraRed Spectrometer (CIRS) instrument onboard the Cassini spacecraft performed 8.4 million spectral observations of Titan at resolutions between 0.5–15.5 cm-1. More than 3 million of these were acquired at a low spectral resolution (SR) (13.5–15.5 cm-1), which have excellent spatial and temporal coverage in addition to the highest spatial resolution and lowest noise per spectrum of any of the CIRS observations. Despite this, the CIRS low-SR dataset is currently underused for atmospheric composition analysis, as spectral features are often blended and subtle compared to those in higher SR observations. The vast size of the dataset also poses a challenge as an efficient forward model is required to fully exploit these observations. Here, we show that the CIRS FP3/4 nadir low-SR observations of Titan can be accurately forward modelled using a computationally efficient correlated-k method. We quantify wavenumber-dependent forward modelling errors, with mean 0.723 nW cm-2 sr-1/cm-1 (FP3: 600–890 cm-1) and 0.248 nW cm-2 sr-1/ cm-1 (FP4: 1240–1360 cm-1), that can be used to improve the rigour of future retrievals. Alternatively, in cases where more accuracy is required, we show observations can be forward modelled using an optimised line-by-line method, significantly reducing computation time

Neuropsychological, academic, and adaptive functioning in children who survive inhospital cardiac arrest and resuscitation

Children suffering cardiac arrest (CA) are not uncommon in certain pediatric populations. Due to the increasing suruival rates of child CA patients, there is a growing interest in, and concern for, their long-term intellectual, academic, emotional, and adaptive functioning. This article describes the possible neurologic sequelae of CA in children and presents standardized assessment results on 25 children, 2 to 15 years of age, who suruived a CA while in the hospital. A majority of these children exhibited low-average to deficient levels of performance on neuropsychologic, achievement, and adaptive behavior measures. Duration of cardiac arrest and a medical risk score were significantly correlated with decreased functioning in child CA patients. Children who suffer a cardiac arrest are at high risk for academic struggles, and many may need special education seruices

Cascade of Complexity in Evolving Predator-Prey Dynamics

We simulate an individual-based model that represents both the phenotype and genome of digital organisms with predator-prey interactions. We show how open-ended growth of complexity arises from the invariance of genetic evolution operators with respect to changes in the complexity, and that the dynamics which emerges is controlled by a non-equilibrium critical point. The mechanism is analogous to the development of the cascade in fluid turbulence.Comment: 5 pages, 3 figures; added comments on system size scaling and turbulence analogy, added error estimates of data collapse parameters. Slightly enhanced from the version which will appear in PR