Reported measurements of seabed scattering are largely confined to relatively low frequencies, up to 300 kHz, see, e.g., [Jackson and Richardson] and references therein. Still higher frequencies, up to a few megahertz, are used in seafloor imagery (e.g., in pencil-beam sonars), particularly to observe dynamic processes at the seafloor in shallow water. From the physics of sound-sediment interac...

We use Hopf algebras to prove a version of the Littlewood–Richardson rule for skew Schur functions, which implies a conjecture of Assaf and McNamara. We also establish skew Littlewood–Richardson rules for Schur P and Q-functions and noncommutative ribbon Schur functions, as well as skew Pieri rules for k-Schur functions, dual k-Schur functions, and for the homology of the affine Grassmannian of...

As conferencing tools become an increasingly common feature in students’ experience, tutors need to have an understanding of how these tools facilitate the formation and maintenance of collaborative learning communities. Inevitably the pursuit of this understanding requires some form of analysis of the interactions involved. This analysis of the written transcripts, created by students during c...

Interand intra-specimen variability masks reliable temperature control on shell Mg/Ca ratios in laboratory and field cultured Mytilus edulis and Pecten maximus (bivalvia) P. S. Freitas, L. J. Clarke, H. A. Kennedy, and C. A. Richardson School of Ocean Sciences, College of Natural Sciences, Bangor University, UK Departamento de Geologia Marinha, INETI, Portugal Received: : 29 November 2007 – Acc...

The mid-1998 troubles between India and Pakistan are used to demonstrate that a realvalued Genetic Algorithm (GA) can find workable solutions to Richardson’s Theory of Arms Races. This theory, developed in the late 1940s, needs such a big search space that it was never very useful — until the arrival of GAs. Rough ‘starter’ values for the rate-constants in Richardson’s equations are gleaned fro...

Let G be a reductive group over a field of characteristic 6= 2, let g = Lie(G), let θ be an involutive automorphism of G and let g = k⊕p be the associated symmetric space decomposition. For k = C, Kostant and Rallis studied [17] properties of orbits, centralizers, and invariants related to the (−1) eigenspace p. In this paper, we generalise [17] to the case of good positive characteristic. Amon...

We show that integrability of the BCS model extends beyond Richardson's model (where all Cooper pair scatterings have equal coupling) to that of the russian doll BCS model for which the couplings have a particular phase dependence that breaks time-reversal symmetry. This model is shown to be integrable using the quantum inverse scattering method, and the exact solution is obtained by means of t...

mixed convection of al 2 o 3 -water nanofluid in a square microcavity is investigated numerically. governing equations are discretized and solved using the finite volume method and simpler algorithm. the knudsen number is selected between 0.001 and 0.1 to consider slip velocity and the jump temperature boundary conditions. results showed that nusselt number is a function of richardson number, k...

After finding analogies between turbulence and the beable interpretation of the spontaneous collapse model of the wave function, we unravel the underlying Lévy dynamics in such model. Using an affine noise in the collapse process, we obtain the intermittency corrections to Richardson’s t law for the turbulent diffusion. PACS: 05.40.Fb, 03.65.Bz, 02.50.Ey Typeset using REVTEX

Peter D. Leathwood, David P. Richardson, Peter Sträter, Peter M. Todd and Hans C. M. van Trijp Nestlé Research Centre, P.O. Box 44, 1000 Lausanne, Switzerland DPR Nutrition Limited, 34 Grimwade Avenue, Croydon, Surrey, CR0 5DG, UK Südzucker, Wormser Strasse 11, 67283 Mannheim, Germany Indiana University, Department of Psychology, 1101 E. 10th Street, Bloomington, IN 47405, USA Max Planck Instit...