Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall

Employing a transformation to hyperbolic space, we derive in a simple way exact solutions for the Klein-Gordon equation in an infinite square-well potential with one boundary moving at constant velocity, for the massless as well as for the massive case

Runoff Using a Combined Geographic Information System and Curve Number Approach

Stormwater runoff can transport nutrients, sediments, chemicals, and pathogens to surface water bodies. Managing runoff is crucial to preserving water quality in rapidly developing urban watersheds like Northwest Arkansas. A watershed containing much of the University of Arkansas campus was identified as the target area for this study because stormwater from this location drains into the West Fork of the White River, designated as an impaired water body due to siltation. The project objective was to develop a methodology to test existing stormwater drainage infrastructure, identify potential areas of improvement, and estimate potentially contaminated runoff by combining two widely used prediction models. The U.S. Department of Agriculture\u27s Natural Resource Conservation Service\u27s curve number (CN) method was used to estimate runoff depths and volumes, while a flow-direction model integrated topography, land use, and stormwater drainage infrastructure in a geographic information system. This study combined the CN and flow-direction models in a single geodatabase to develop flow direction/quantity models. Models were developed for 5-, 10-, 25-50-, and 100-year floods and varied by the antecedent moisture content. These models predicted flow directions within existing drainage infrastructure, runoff volumes for each flood, and a hypothetical flood analysis model. Results showed that between 24,000 m3 (5-year flood) and 60,000 m3 (100-year flood) of runoff would be transported to the West Fork of the White River. The methodology developed and results generated will help stormwater planners visualize localized runoff, and potentially adapt existing drainage networks to accommodate runoff, prevent flooding and erosion, and improve the quality of runoff entering nearby surface water bodies

Lycopene, the Major Pigment of Podosordaria leporina

The lipid-soluble pigments were extracted from the mycelium of Podosordaria leporina and analyzed by thin-layer chromatography and absorption spectroscopy. Lycopene was found to be the major pigment produced when mycelium is exposed to blue light

DBI Inflation in N=1 Supergravity

It was recently demonstrated that, when coupled to N=1 supergravity, the Dirac-Born-Infeld (DBI) action constructed from a single chiral superfield has the property that when the higher-derivative terms become important, the potential becomes negative. Thus, DBI inflation cannot occur in its most interesting, relativistic regime. In this paper, it is shown how to overcome this problem by coupling the model to one or more additional chiral supermultiplets. In this way, one obtains effective single real scalar field DBI models with arbitrary positive potentials, as well as multiple real scalar field DBI inflation models with hybrid potentials

Hydrogen sulfide: potent regulator of vascular tone and stimulator of angiogenesis

Hydrogen sulfide is the "third" gasotransmitter on the rise in cardiovascular research. Recent studies show that hydrogen sulfide has a great potential in the regulation of vascular tone of systemic arteries and many molecular targets are discussed. However, the complex mechanism of vascular tone regulation by hydrogen sulfide is only incompletely understood. It seems that a potent interaction of hydrogen sulfide with vascular endothelial growth factor (VEGF) becomes important in angiogenesis, in the process of wound healing, but also in tumor angiogenesis. Hydrogen sulfide exerts anti-inflammatory effects and it could be a pharmacological target in vascular dysfunction in association with obesity-related hypertension as well as in tumor development and progression. However, the underlying molecular pathways still need to be revealed. This review primarily focuses on the regulatory role of hydrogen sulfide in controlling vascular tone. We attempt to provide recent insights into mechanisms by which CSE-dependent hydrogen sulfide plays a role in the regulation of vascular tone by perivascular adipose tissue. The role of KCNQ channels and other ionic permeation pathways as key targets will be discussed. Recent findings which are summarized in this paper provide new insights into molecular mechanisms of hydrogen sulfide that are crucial for understanding vascular dysfunction in cardiovascular disease and possibly angiogenesis. Future research will be extended to investigate the therapeutic potential of hydrogen sulfide and their targets such as KCNQ channels in cardiovascular diseases, angiogenesis and tumor genesis

Relationships Between Flow, Mental Toughness, and Subjective Performance Perception in Various Triathletes

The current study examined the relationship between mental toughness, subjective performance and dispositional flow in high performing triathletes. A sample of 114 Iron men and triathletes (Mage=28.81 years, SD=3.45), taken from triathlon clubs, completed self-report questionnaires measuring mental toughness, subjective performance and dispositional flow. Pearson’s correlations revealed a significant and positive relationship between global mental toughness and subjective performance rating (r=0.62, p <0.01) and between global mental toughness and all dispositional flow subscales (r= 0.67 – 0.81, p<0.05). Linear regression analyses found mental toughness subscales accounted for 64% of the variance in dispositional flow. Subjective performance rating did not add significantly to the model. Overall, the findings suggest that mental toughness may allow iron man competitors and triathletes to exert the cognitive and emotional control necessary to experience flow and therefore perform better. The findings are discussed in the context of competitive ironman and triathlon

The Jabal Akhdar Dome in the Oman Mountains : evolution of a dynamic fracture system

Acknowledgments: This study was carried out within the framework of DGMK (German Society for Petroleum and Coal Science and Technology) research project 718 “Mineral Vein Dynamics Modelling,” which is funded by the companies ExxonMobil Production Deutschland GmbH, GDF SUEZ E&P Deutschland GmbH, RWE Dea AG and Wintershall Holding GmbH, within the basic research program of the WEG Wirtschaftsverband Erdo¨l- und Erdgasgewinnung e.V. We thank the companies for their financial support and their permission to publish these results. The German University of Technology in Oman (GU-Tech) is acknowledged for its logistic support. We gratefully acknowledge the reviewers Andrea Billi and Jean-Paul Breton, whose constructive reviews greatly improved the manuscriptPeer reviewedPreprin

Supersymmetric quantum cosmological billiards

D=11 Supergravity near a space-like singularity admits a cosmological billiard description based on the hyperbolic Kac-Moody group E10. The quantization of this system via the supersymmetry constraint is shown to lead to wavefunctions involving automorphic (Maass wave) forms under the modular group W^+(E10)=PSL(2,O) with Dirichlet boundary conditions on the billiard domain. A general inequality for the Laplace eigenvalues of these automorphic forms implies that the wave function of the universe is generically complex and always tends to zero when approaching the initial singularity. We discuss possible implications of this result for the question of singularity resolution in quantum cosmology and comment on the differences with other approaches.Comment: 4 pages. v2: Added ref. Version to be published in PR

A case study in decompounding for Bengali information retrieval

Decompounding has been found to improve information retrieval (IR) effectiveness for compounding languages such as Dutch, German, or Finnish. No previous studies, however, exist on the effect of decomposition of compounds in IR for Indian languages. In this case study, we investigate the effect of decompounding for Bengali, a highly agglutinative Indian language. Some unique characteristics of Bengali compounding are: i) only one constituent may be a valid word in contrast to the stricter requirement of both being so; and ii) the first character of the right constituent can be modified by the rules of sandhi in contrast to simple concatenation. While the standard approach of decompounding based on maximization of the total frequency of the constituents formed by candidate split positions has proven beneficial for European languages, our reported experiments in this paper show that such a standard approach does not work particularly well for Bengali IR. As a solution, we firstly propose a more relaxed decompounding where a compound word can be decomposed into only one constituent if the other constituent is not a valid word, and secondly we perform selective decompounding by employing a co-occurrence threshold to ensure that the constituent often co-occurs with the compound word, which in this case is representative of how related are the constituents with the compound. We perform experiments on Bengali ad-hoc IR collections from FIRE 2008 to 2012. Our experiments show that both the relaxed decomposition and the co-occurrence-based constituent selection proves more effective than the standard frequency-based decomposition. improving MAP up to 2:72% and recall up to 1:8%

Paleogene initiation of the Western Branch of the East African Rift: The uplift history of the Rwenzori Mountains, Western Uganda

The two branches of the East African Rift System (EARS) are believed to have initiated diachronously. However, a growing body of work continues to suggest the onset of rifting in the Western Branch occurred in the Paleogene, coeval to the Eastern Branch. Due to a lack of pre-Miocene stratigraphy, attempts to resolve the geological history of the Western Branch must study the uplift and erosional histories of the modern rift topography. In this study, the rock uplift history of the Rwenzori Mountains, Western Uganda, is resolved to better our understanding of the tectonic history of the Western Branch of the EAR. Through the application of low-temperature thermochronology, χ-mapping and the modelling of river profiles, we show that rock uplift of the Rwenzori dates back to the Oligocene, with thermal history models suggesting uplift induced exhumation may date back as far as the Eocene. This provides tangible evidence that extension began in the region in the Paleogene, coeval with the Eastern Branch, and not the late Neogene. These results have broad implications for the tectonic evolution of the entire East African Rift System and suggest our current understanding of the region's rift history remains incomplete