Heun Functions and the energy spectrum of a charged particle on a sphere under magnetic field and Coulomb force

We study the competitive action of magnetic field, Coulomb repulsion and space curvature on the motion of a charged particle. The three types of interaction are characterized by three basic lengths: l_{B} the magnetic length, l_{0} the Bohr radius and R the radius of the sphere. The energy spectrum of the particle is found by solving a Schr\"odinger equation of the Heun type, using the technique of continued fractions. It displays a rich set of functioning regimes where ratios \frac{R}{l_{B}} and \frac{R}{l_{0}} take definite values.Comment: 12 pages, 5 figures, accepted to JOPA, november 200

Iron deficiency intravenous substitution in a Swiss academic primary care division: analysis of practices.

BACKGROUND: Iron deficiency is a common problem in primary care and is usually treated with oral iron substitution. With the recent simplification of intravenous (IV) iron administration (ferric carboxymaltose) and its approval in many countries for iron deficiency, physicians may be inclined to overutilize it as a first-line substitution. OBJECTIVE: The aim of this study was to evaluate iron deficiency management and substitution practices in an academic primary care division 5 years after ferric carboxymaltose was approved for treatment of iron deficiency in Switzerland. METHODS: All patients treated for iron deficiency during March and April 2012 at the Geneva University Division of Primary Care were identified. Their medical files were analyzed for information, including initial ferritin value, reasons for the investigation of iron levels, suspected etiology, type of treatment initiated, and clinical and biological follow-up. Findings were assessed using an algorithm for iron deficiency management based on a literature review. RESULTS: Out of 1,671 patients, 93 were treated for iron deficiency. Median patients' age was 40 years and 92.5% (n=86) were female. The average ferritin value was 17.2 μg/L (standard deviation 13.3 μg/L). The reasons for the investigation of iron levels were documented in 82% and the suspected etiology for iron deficiency was reported in 67%. Seventy percent of the patients received oral treatment, 14% IV treatment, and 16% both. The reasons for IV treatment as first- and second-line treatment were reported in 57% and 95%, respectively. Clinical and biological follow-up was planned in less than two-thirds of the cases. CONCLUSION: There was no clear overutilization of IV iron substitution. However, several steps of the iron deficiency management were not optimally documented, suggesting shortcuts in clinical reasoning

Generalized nonuniform dichotomies and local stable manifolds

We establish the existence of local stable manifolds for semiflows generated by nonlinear perturbations of nonautonomous ordinary linear differential equations in Banach spaces, assuming the existence of a general type of nonuniform dichotomy for the evolution operator that contains the nonuniform exponential and polynomial dichotomies as a very particular case. The family of dichotomies considered allow situations for which the classical Lyapunov exponents are zero. Additionally, we give new examples of application of our stable manifold theorem and study the behavior of the dynamics under perturbations.Comment: 18 pages. New version with minor corrections and an additional theorem and an additional exampl

Random Surfing Without Teleportation

In the standard Random Surfer Model, the teleportation matrix is necessary to ensure that the final PageRank vector is well-defined. The introduction of this matrix, however, results in serious problems and imposes fundamental limitations to the quality of the ranking vectors. In this work, building on the recently proposed NCDawareRank framework, we exploit the decomposition of the underlying space into blocks, and we derive easy to check necessary and sufficient conditions for random surfing without teleportation.Comment: 13 pages. Published in the Volume: "Algorithms, Probability, Networks and Games, Springer-Verlag, 2015". (The updated version corrects small typos/errors

Noise Data Farming for the City of Boston

This project, completed for the City of Boston\u27s Air Pollution Control Commission, initiated a process for the farming of noise data contained in noise impact assessments for new projects and noise complaint investigations. We created a protocol for these data to be submitted electronically, organized in one database, and mapped in Geographical Information Systems. We developed recommendations for conducting noise impact assessments and methods for analyzing the noise map to gain a comprehensive understanding of the noise environment in the city

The importance of calcium and amorphous silica for arctic soil CO₂ production

Future warming of the Arctic not only threatens to destabilize the enormous pool of organic carbon accumulated in permafrost soils but may also mobilize elements such as calcium (Ca) or silicon (Si). While for Greenlandic soils, it was recently shown that both elements may have a strong effect on carbon dioxide (CO2) production with Ca strongly decreasing and Si increasing CO2 production, little is known about the effects of Si and Ca on carbon cycle processes in soils from Siberia, the Canadian Shield, or Alaska. In this study, we incubated five different soils (rich organic soil from the Canadian Shield and from Siberia (one from the top and one from the deeper soil layer) and one acidic and one non-acidic soil from Alaska) for 6 months under both drained and waterlogged conditions and at different Ca and amorphous Si (ASi) concentrations. Our results show a strong decrease in soil CO2 production for all soils under both drained and waterlogged conditions with increasing Ca concentrations. The ASi effect was not clear across the different soils used, with soil CO2 production increasing, decreasing, or not being significantly affected depending on the soil type and if the soils were initially drained or waterlogged. We found no methane production in any of the soils regardless of treatment. Taking into account the predicted change in Si and Ca availability under a future warmer Arctic climate, the associated fertilization effects would imply potentially lower greenhouse gas production from Siberia and slightly increased greenhouse gas emissions from the Canadian Shield. Including Ca as a controlling factor for Arctic soil CO2 production rates may, therefore, reduces uncertainties in modeling future scenarios on how Arctic regions may respond to climate change

A Generalization of the Convex Kakeya Problem

Given a set of line segments in the plane, not necessarily finite, what is a convex region of smallest area that contains a translate of each input segment? This question can be seen as a generalization of Kakeya's problem of finding a convex region of smallest area such that a needle can be rotated through 360 degrees within this region. We show that there is always an optimal region that is a triangle, and we give an optimal \Theta(n log n)-time algorithm to compute such a triangle for a given set of n segments. We also show that, if the goal is to minimize the perimeter of the region instead of its area, then placing the segments with their midpoint at the origin and taking their convex hull results in an optimal solution. Finally, we show that for any compact convex figure G, the smallest enclosing disk of G is a smallest-perimeter region containing a translate of every rotated copy of G.Comment: 14 pages, 9 figure

Molecular Evolution in Time Dependent Environments

The quasispecies theory is studied for dynamic replication landscapes. A meaningful asymptotic quasispecies is defined for periodic time dependencies. The quasispecies' composition is constantly changing over the oscillation period. The error threshold moves towards the position of the time averaged landscape for high oscillation frequencies and follows the landscape closely for low oscillation frequencies.Comment: 5 pages, 3 figures, Latex, uses Springer documentclass llncs.cl

An algorithm to obtain global solutions of the double confluent Heun equation

A procedure is proposed to construct solutions of the double confluent Heun equation with a determinate behaviour at the singular points. The connection factors are expressed as quotients of Wronskians of the involved solutions. Asymptotic expansions are used in the computation of those Wronskians. The feasibility of the method is shown in an example, namely, the Schroedinger equation with a quasi-exactly-solvable potential

Reasons for using inhalants: evidence for discrete classes in a sample of incarcerated adolescents.

The use and abuse of inhalants continue to be among the most pernicious, curious, and least understood of drug use behaviors. The purpose of this study was to identify specific subgroups of adolescents based on their reasons for using inhalants. Data regarding reasons for using inhalants were examined using latent profile analysis. A three-class solution exhibited the best fit with the data. Although validation analysis revealed that the classes did not differ on demographic characteristics, classes exhibited significant differences across numerous clinical measures, including anxiety, problems associated with using substances, global symptom severity, and number of different types of inhalants used. Results indicate heterogeneity for reasons for use of inhalants and associated psychological distress. Findings may provide clues to future taxonomic development of inhalant abuse phenomena and prevention.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/61149/1/Reasons.pd