Extremal points for a (n, p)-type Riemann–Liouville fractional-order boundary value problems

The main objective of this work is to use the Krein–Rutman theorem to characterize extremal points for a (n, p)-type Riemann–Liouville fractional-order boundary value problem. The key premise is that a mapping from a linear, compact operatör to its spectral radius, which depends on =, is continuous and strictly increasing as a function of =. A nonlinear problem is also treated as an application of the result for the linear case’s extremal point.Publisher's Versio

S5E5: What opportunities exist in sports management?

Sports have significant value for many people for various reasons. It serves as entertainment for some, a passion for others and a $1.3 trillion international industry for entrepreneurs. College students studying business will find many career opportunities in sports management upon graduation. The Maine Business School at UMaine capitalized on the demand for college graduates with business degrees by creating a new sports management major. In this episode of “The Maine Question” podcast, we explore the employment prospects in the sports management field with Jason Harkins and Muralee Das, Maine Business School faculty who helped create this new major at UMaine

Lower and upper solutions for general two-point fractional order boundary value problems

This paper establishes the existence of a positive solution of fractional order two-point boundary value problem, Dq1a+ y(t) + f(t, y(t)) = 0, t ∈ [a, b], y(a) = 0, y′(a) = 0, αDq2a+ y(b) − βDq3a+ y(a) = 0, where Dqia+ , i = 1, 2, 3 are the standard Riemann-Liouville fractional order derivatives, 2 a ≥ 0, by an application of lower and upper solution method and fixed-point theorems.Publisher's Versio

Existence of positive solutions for a coupled system of higher order fractional boundary value problems

The aim of this paper is to establish the existence of at least one positive solution for a coupled system of higher order two-point fractional order boundary value problems under suitable conditions. The approach is based on the Guo–Krasnosel’skii fixed point theorem.Publisher's Versio

Valproic Acid-Induced Myoclonus in a Demented Patient: A Case Report

Valproic acid and its derivatives are now commonly used to treat various psychiatric disorders in the elderly. Data indicates that the elderly patients are more susceptible to developing neuropsychiatric complications when treated with these medications. In this report, we describe the case of a 66-year-old woman with early-onset, Alzheimer's type dementia, who developed myoclonus when treated with a valproic acid preparation for behavioral disturbances associated with the dementia

Analysing Ship Nox Emissions with Hadoop A Case Study for the Port of Rotterdam

Atmospheric emissions such as NOx from ship engines have a drastic impact on the environment. Controlling them is crucial for maintaining a sustainable growth for any logistics company. The Port of Rotterdam (The Netherlands) is using big data analytics to gain actionable insights into these emissions. Our case study deals with the implementation of the emission calculations and reporting implemented in Hadoop. In the analytical setup we introduce the method for estimating emissions based on recorded ship position data and information about its engines. We present a flexible approach that stores intermediate results allowing different levels of aggregation. These levels of aggregations are per geographical area, per grid or for a whole journey attributed to each visited berth. The results are visualized in a Geographical Information System (GIS). The estimated atmospheric emissions also serves as input for the deposition model. We present some selected results of emissions per grid as well as for pre-defined areas. These results are used by the port to make strategic decision. For future work we recommend to also implement the deposition model in Hadoop as this model is also calculative intensive and therefore it currently only accepts aggregated emissions as input, whereby its accuracy is most likely reduced

Relaxation Dynamics in See-Saw Shaped Dy(III) Single-Molecule Magnets

Utilizing a terphenyl bisanilide ligand, two Dy(III) compounds [K(DME)n][LArDy(X)2] (LAr = {C6H4[(2,6-iPrC6H3)NC6H4]2}2−), X = Cl (1) and X = I (2) were synthesized. The ligand imposes an unusual see-saw shaped molecular geometry leading to a coordinatively unsaturated metal complex with near-linear N–Dy–N (avg. 159.9° for 1 and avg. 160.4° for 2) angles. These compounds exhibit single-molecule magnet (SMM) behavior with significant uniaxial magnetic anisotropy as a result of the transverse coordination of the bisanilide ligand which yields high energy barriers to magnetic spin reversal of Ueff = 1334 K/927 cm−1 (1) and 1278 K/888 cm−1 (2) in zero field. Ab initio calculations reveal that the dominant crystal field of the bisanilide ligand controls the orientation of the main magnetic axis which runs nearly parallel to the N–Dy–N bonds, despite the identity of the halide ligand. Analysis of the relaxation dynamics reveals a ca. 14-fold decrease in the rate of quantum tunneling of the magnetisation when X = I (2). Most notably, the relaxation times were on average 5.6× longer at zero field when the heavier group 17 congener was employed. However, no direct evidence of a heavy atom effect on the Orbach relaxation was obtained as the height of the barrier is defined by the dominant bisanilide ligand.<br/