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Dynamical Systems Associated with Crossed Products

In this paper, we consider both algebraic crossed products of commutative complex algebras A with the integers under an automorphism of A, and Banach algebra crossed products of commutative C*-algebras A with the integers under an automorphism of A. We investigate, in particular, connections between algebraic properties of these crossed products and topological properties of naturally associated d

Weak convergence of high level crossings and maxima for one or more Gaussian processes

Weak convergence of the multivariate point process of upcrossings of several high levels by a stationary Gaussian process is established. The limit is a certain multivariate Poisson process. This result is then used to determine the joint asymptotic distribution of heights and locations of the highest local maxima over an increasing interval. The results are generalized to upcrossings and local ma

Recommendations for assessment, monitoring and follow-up of patients with haemophilia.

Summary. Over the last few decades, clinical follow-up of patients with haemophilia has become more complex as a result of the introduction of new treatment strategies, the presence of comorbidities related to haemophilia or ageing, as well as the emergence of new tools to evaluate the medical and social consequences of haemophilia. This publication describes the parameters and information that sh

Algebraic Curves for Commuting Elements in the q-deformed Heisenberg Algebra

In this paper we extend the eliminant construction of Burchnall and Chaundy for commuting differential operators in the Heisenberg algebra to the q-deformed Heisenberg algebra and show that it again provides annihilating curves for commuting elements, provided q satisfies a natural condition. As a side result we obtain estimates on the dimensions of the eigenspaces of elements of this algebra in i

Tau burden is associated with cross-sectional and longitudinal neurodegeneration in the medial temporal lobe in cognitively normal individuals

Background: Neurofibrillary tangle pathology is thought to drive neurodegeneration in beta-amyloid positive (A+) cognitively normal (CN) individuals, i.e., preclinical Alzheimer’s disease (AD).However, in beta-amyloid negative (A-) CN, the contribution of tau pathology [primary age-related tauopathy (PART)] to neurodegeneration remains uncertain. We investigate the correlation between tau burden m

Heart rate characteristic based modelling of atrial fibrillatory rate using implanted cardiac monitor data

OBJECTIVE: The objective of the present study is to investigate the feasibility of using heart rate characteristics to estimate atrial fibrillatory rate (AFR) in a cohort of atrial fibrillation (AF) patients continuously monitored with an implantable cardiac monitor (ICM). We will use a mixed model approach to investigate population effect and patient specific effects of heart rate characteristics

Transforming colloidal Cs4PbBr6 nanocrystals with poly(maleic anhydride-alt-1-octadecene) into stable CsPbBr3 perovskite emitters through intermediate heterostructures

The preparation of strongly emissive CsPbBr3 perovskite nanocrystals with robust surface passivation is a challenge in the field of lead halide perovskite nanomaterials. We report an approach to prepare polymer-capped CsPbBr3 perovskite nanocrystals by reacting oleylammonium/oleate-capped Cs4PbBr6 nanocrystals with poly(maleic anhydride-alt-1-octadecene) (PMAO). PMAO contains succinic anhydride un

Intersecting longest paths

In 1966, Gallai asked whether every connected graph has a vertex that is common to all longest paths. The answer to this question is negative. We prove that the answer is positive for outerplanar graphs and 2-trees. Another related question was raised by Zamfirescu in the 1980s: Do any three longest paths in a connected graph have a vertex in common? The answer to this question is unknown. We prov

Auto- and alloimmune reactivity to human islet allografts transplanted into type 1 diabetic patients

Allogeneic islet transplantation can restore an insulin-independent state in C-peptide-negative type 1 diabetic patients. We recently reported three cases of surviving islet allografts that were implanted in type 1 diabetic patients under maintenance immune suppression for a previous kidney graft. The present study compares islet graft-specific cellular auto- and alloreactivity in peripheral blood

Effects of intervention on self-efficacy and text quality in elementary school students’ narrative writing

Aim: Self-efficacy for writing is an important motivational factor and considered to predict writing performance. Self-efficacy for narrative writing has been sparsely studied, and few studies focus on the effects of writing intervention on self-efficacy. Additionally, there is a lack of validated measures of self-efficacy for elementary school students. In a previous study, we found that a traine

Diagnostic value of MRS-quantified brain tissue lactate level in identifying children with mitochondrial disorders

Objectives: Magnetic resonance spectroscopy (MRS) of children with or without neurometabolic disease is used for the first time for quantitative assessment of brain tissue lactate signals, to elaborate on previous suggestions of MRS-detected lactate as a marker of mitochondrial disease. Methods: Multivoxel MRS of a transverse plane of brain tissue cranial to the ventricles was performed in 88 chil

First-principles characterization of Mg low-index surfaces : Structure, reconstructions, and surface core-level shifts

In this paper, first-principles calculations provide structural characterization of three low-index Mg surfaces - Mg(0001), Mg(1010), and Mg(1120) - and their respective surface core-level shifts (SCLSs). Inspired by the close similarities between Be and Mg surfaces, we also explore the reconstruction of Mg(1120). Through the calculation of surface energies and the use of the angular-component dec