X iv :m at h/ 06 04 42 2v 1 [ m at h. C O ] 1 9 A pr 2 00 6 The Hankel Transform of the Sum of Consecutive Generalized Catalan Numbers Predrag Rajković, Marko D. Petković, University of Nǐs, Serbia and Montenegro Paul Barry School of Science, Waterford Institute of Technology, Ireland Abstract. We discuss the properties of the Hankel transformation of a sequence whose elements are the sums of c...

Neural networks are generally built by interleaving (adaptable) linear layers with (fixed) nonlinear activation functions. To increase their flexibility, several authors have proposed methods for adapting the activation functions themselves, endowing them with varying degrees of flexibility. None of these approaches, however, have gained wide acceptance in practice, and research in this topic r...

Microbial iron uptake in the naturally fertilized waters in the vicinity of Kerguelen Islands: phytoplankton–bacteria interactions M. Fourquez, I. Obernosterer, D. M. Davies, T. W. Trull, and S. Blain Institute for Marine and Antarctic Studies, University of Tasmania, Hobart 7001, Australia Sorbonne Universités, UPMC Univ Paris 06, UMR 7621, Laboratoire d’Océanographie Microbienne (LOMIC), Obse...

X iv :a st ro -p h/ 06 01 33 7 v1 16 J an 2 00 6 A Radio Pulsar Spinning at 716 Hz Jason W. T. Hessels, Scott M. Ransom, Ingrid H. Stairs, Paulo C. C. Freire, Victoria M. Kaspi, and Fernando Camilo Department of Physics, McGill University, Montreal, QC H3A 2T8, Canada NRAO, 520 Edgemont Rd., Charlottesville, VA 22903, USA Department of Physics and Astronomy, University of British Columbia, 6224...

.......................................................................................................... 3 INTRODUCTION .................................................................................................. 4 STUDY SITE ......................................................................................................... 5 Historical Development and Land Use ......................

Stevens-Johnson syndrome (SJS) is an acute inflammatory vesiculobullous reaction of the skin and mucosa, such as the ocular surface, oral cavity, and genitals. In patients with extensive skin detachment and a poor prognosis, the condition is called toxic epidermal necrolysis (TEN). Severe ocular complications (SOCs) appear in some-but not all-SJS/TEN patients who are diagnosed by dermatologists...

06-P038 Great vessel development requires dizygous expression of Chd7 and Tbx1 in pharyngeal ectoderm Karen McCue, Victoria Randall, Catherine Roberts, Vanessa Kyriakopoulou, Francesca Vitelli, Katrina Prescott, Koen Devriendt, Charles Shaw-Smith, Subreena Simrick, M. Albert Basson, Elizabeth Illingworth, Peter Scambler Molecular Medicine Unit Institute of Child Heath, London, United Kingdom Te...

Obesity and Depression among Asian Indians in the United States: Findings from the MASALA Study Natasha Din, MBBS1, Alka M. Kanaya, MD *1, 2 1Department of Epidemiology and Biostatistics, University of California, San Francisco 2Division of General Internal Medicine, Department of Medicine, University of California, San Francisco *Corresponding author: Dr. Alka M. Kanaya, MD,University of Calif...

R d with a Lévy density given by c|x| 1{|x|<1} for some constant c. In this paper we study the potential theory of truncated symmetric stable processes in detail. We prove a Harnack inequality for nonnegative harmonic nonnegative functions of these processes. We also establish a boundary Harnack principle for nonnegative functions which are harmonic with respect to these processes in bounded co...