Scientific Computing Department, Science and Technology Facilities Council, Rutherford Appleton Laboratory, Oxfordshire OX11 0QX, UK. National Center for Computational Design and Discovery of Novel Materials (MARVEL), Lausanne, Switzerland. Laboratory of Computational Science and Modelling, Institute of Materials, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland. Department of Ch...

Why did substantial parts of Europe abandon the institutionalized churches around 1900? Empirical studies using modern data mostly contradict the traditional view that education was a leading source of the seismic social phenomenon of secularization. We construct Valuable comments were kindly provided by the editor, five anonymous referees, Oliver Falck, David Figlio, Jared Rubin, and seminar p...

1 School of Life Sciences, University of Warwick, Coventry CV4 7AL, UK 2Department of Pathophysiology, School of Pharmacy and Biochemistry, Institute of Biochemistry and Molecular Medicine, University of Buenos Aires (UBA), National Council for Scientific Research (CONICET), 1113 Buenos Aires, Argentina 3Department of Biochemistry and Molecular Biology, Monash University, Clayton Campus, Clayto...

Surveys of galaxies in the 21-cm line of neutral hydrogen are important parts of the science case for the Five-hundred-metre Aperture Spherical Telescope (FAST) and the Australian SKA Pathfinder (ASKAP). The FAST strawman design with 19 beams and low system temperature allows a “survey speed” comparable to that of ASKAP. The combination of the two telescopes will allow a shallow all-sky survey ...

Chang Wang,1 Kody J. H. Law,2 Panayotis G. Kevrekidis,3 and Mason A. Porter1 1Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, OX1 3LB, United Kingdom 2Mathematics Institute, University of Warwick, CV4 7AL, United Kingdom 3Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA (Received 22 ...

We establish a probabilistic representation for a wide class of linear deterministic p.d.e.s with potential term, including the wave equation in spatial dimensions 1 to 3. Our representation applies to the heat equation, where it is related to the classical Feynman-Kac formula, as well as to the telegraph and beam equations. If the potential is a (random) spatially homogeneous Gaussian noise, t...

Eric Brunner*, Mike Rayner, Margaret Thorogood, Barrie Margetts, Lee Hooper, Carolyn Summerbell, Elizabeth Dowler, Gillian Hewitt, Aileen Robertson and Martin Wiseman International Centre for Health and Society, Department of Epidemiology and Public Health, University College London, 1–19 Torrington Place, London WC1E 6BT, UK: British Heart Foundation Health Promotion Research Group, Department...

1. School of Computer Science and Technology, Xidian University, Xi’an710071, Shannxi, PR China 2. Institute of Science and Technology for Brain Inspired Intelligence, Fudan University, Shanghai, PR China 3. Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK 4. Oxford Centre for Computational Neuroscience, Oxford UK 5. Center for Magnetic Resonance Research (CMRR), Univ...

The m-order connectivity index (G) m of a graph G is     1 2 1 1 2 1 ... ... 1 ( ) i i im m v v v i i i m d d d  G where 1 2 1 ... i i im d d d  runs over all paths of length m in G and i d denotes the degree of vertex i v . Also,        1 2 1 1 2 1 ... ... 1 ( ) i i im m v v v i i i ms d d d X G is its m-sum connectivity index. A dendrimer is an artificially manufactured or synth...