In this article, we state the necessary background for cluster algebras and quiver representations to formulate and prove a result of Caldero and Chapoton which gives a nice formula connecting the two subjects. In our exposition, we mostly follow the paper [CC], but we have tried to minimize the reliance of citing outside sources as much as possible. In particular, we avoid having to introduce ...

Travis Horrom,1 Salim Balik,2 Arturo Lezama,3 Mark D. Havey,2 and Eugeniy E. Mikhailov1 1Department of Physics, The College of William and Mary, Williamsburg, Virginia 23187, USA 2Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA 3Instituto de Fı́sica, Universidad de la República, Casilla de correo 30, 11000, Montevideo, Uruguay (Received 20 February 2011; published 31...

Peter A. Troch1,2* Guillermo F. Martinez1 Valentijn R. N. Pauwels3 Matej Durcik4 Murugesu Sivapalan5,6 Ciaran Harman6 Paul D. Brooks1,4 Hoshin Gupta1,4 and Travis Huxman7,2 1 Department of Hydrology and Water Resources, University of Arizona, USA 2 Biosphere 2 Earthscience, University of Arizona, USA 3 Laboratory of Hydrology and Water Management, Ghent University, Belgium 4 SAHRA (Sustainabili...

Data was collected on Nov. 6, 2009 at the ARL Lake Travis Test Station. The lake has an estimated maximum depth of 37 m [2]. As seen in Fig. 1, the lake has a nearby dam and hilly former river bed terrain that contribute to high reverberation. Fig. 2 shows the temperature and sound speed profiles—a relatively constant set of temperatures and speeds compared to the thermoclines from the July, 20...

A novel extravascular (EV) ICD lead (AtaCor Medical, San Clemente, CA) is under development for sensing and defibrillation of ventricular tachyarrhythmias (VF) has been tested in subjects with body mass indexes (BMI) up to 35 kg/m2. Since habitus can affect effectiveness, it was deemed important assess this new high BMI (HBMI). The purpose analysis initial safety performance outcomes obese (BMI...

Background and Aims: Identifying risk factors for incidence of migraine headaches through an integrated model of psychosocial factors is important. This research aimed to investigate the predictive role of psychological, socioeconomic and lifestyle-related factorsin migraine headaches. Methods: In a cross-sectional descriptive study, 71 patients with migraine headaches who referred to Imam ...

Flame-retardant polyvinyl alcohol (PVA) membranes with high transparency and flexibility were prepared by mixing an aqueous solution of a phosphorus-containing acrylic acid (AOPA) with PVA. The reaction between AOPA and PVA, the transparency, the crystallinity and the flexibility of the membrane were investigated with Fourier transform infrared spectrometry (FTIR), UV-vis light transmittance, X...