Browsing Mathematics by Title
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Piezoacoustic wave spectra using improved surface impedance matrix: Application to high impedancecontrast layered plates
(2008)Starting from the general modal solutions for a homogeneous layer of arbitrary material and crystalline symmetry, a matrix formalism is developed to establish the semianalytical expressions of the surface impedance matrices ... 
Piezoelectric Love waves on rotated Ycut mm2 substrates
(IEEE, 200611)Consider a layer consisting of a m3m dielectric crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semiinfinite mm2 piezoelectric substrate. For an X or Ycut of the substrate, a Love wave can ... 
A pointdistribution index and its application to sensorgrouping in wireless sensor networks
(ACM, 2006)We propose [i], a novel index for evaluation of pointdistribution. [i] is the minimum distance etween each pair of points normalized by the average distance between each pair of points. We find that a set of points that ... 
Predictive random graph ranking on the web
(2006)The incomplete information about the Web structure causes inaccurate results of various ranking algorithms. In this paper, we propose a solution to this problem by formulating a new framework called, Predictive Random Graph ... 
Predictive ranking: a novel page ranking approach by estimating the web structure
(2005)PageRank (PR) is one of the most popular ways to rank web pages. However, as the Web continues to grow in volume, it is becoming more and more difficult to crawl all the available pages. As a result, the page ranks computed ... 
Proper formulation of viscous dissipation for nonlinear waves in solids
(Acoustical Society of America, 201303)To model nonlinear viscous dissipative motions in solids, acoustical physicists usually add terms the material time derivative of the Lagrangian strain tensor E, to the elastic stress tensor; derived from the expansion to ... 
A quiver presentation for Solomon's descent algebra
(Elsvier, 2009)The descent algebra S(W) is a subalgebra of the group algebra of a finite Coxeter group W, which supports a homomorphism with nilpotent kernel and commutative image in the character ring of W. Thus S(W) is a basic algebra, ... 
Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module
(2001)We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order $p=2,3,5,7$ and the other of order $pk$ for $k=1$ or $k$ ... 
Rayleigh waves and surface stability for Bell materials in compression; comparison with rubber
(Oxford University Press, 2003)The stability of a Bellconstrained halfspace in compression is studied. To this end, the propagation of Rayleigh waves on the surface of the material when it is maintained in a static state of triaxial prestrain is ... 
Rayleigh waves in anisotropic crystals rotating about the normal to a symmetry plane
(American Society of Mechanical Engineers, 2004)The propagation of surface acoustic waves in a rotating anisotropic crystal is studied. The crystal is monoclinic and cut along a plane containing the normal to the symmetry plane; this normal is also the axis of rotation. ... 
Rayleigh waves in symmetry planes of crystals : explicit secular equations and some explicit wave speeds
(Elsevier, 2003)Rayleigh waves are considered for crystals possessing at least one plane of symmetry. The secular equation is established explicitly for surface waves propagating in any direction of the plane of symmetry, using two different ... 
Realizing a fusion system by a single finite group
(2010)We show that every saturated fusion system can be realized as a full subcategory of the fusion system of a finite group. The result suggests the definition of an 'exoticity index' and raises some other questions which we discuss. 
Robust solution of singularly perturbed problems using multigrid methods: analysis and results in one and two dimensions
(2012)We consider the problem of solving linear systems of equations that arise in the numerical solution of singularly perturbed ordinary and partial differential equations of reactiondiffusion type. Standard discretization ... 
Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations
(The Royal Society, 20110708)We study the propagation of twodimensional finiteamplitude shear waves in a nonlinear prestrained incompressible solid, and derive several asymptotic amplitude equations in a simple, consistent and rigorous manner. The ... 
Seismic Rayleigh waves on an exponentially graded, orthotropic halfspace
(The Royal Society, 2007)Efforts at modelling the propagation of seismic waves in halfspaces with continuously varying properties have mostly been focused on shearhorizontal waves. Here, a sagittally polarized (Rayleigh type) wave travels along ... 
Seminonnegative matrix factorization with global statistical consistency for collaborative filtering
(2009)[no abstract available] 
Simple shear is not so simple
(201203)For homogeneous, isotropic, nonlinearly elastic materials, the form of the homogeneous deformation consistent with the application of a Cauchy shear stress is derived here for both compressible and incompressible materials. ... 
Slight compressibility and sensitivity to changes in Poisson's ratio
(2012)Finite element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that, in shearing deformations, the corresponding normal stress ... 
Small amplitude waves and stability for a prestressed viscoelastic solid
(Springer, 2009)We study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surface waves to address the questions of ... 
Solitary and compactlike shear waves in the bulk of solids
(American Physical Society, 200606)We show that a model proposed by Rubin, Rosenau and Gottlieb J. Appl. Phys. 77 4054 (1995) for dispersion caused by an inherent material characteristic length belongs to the class of simple materials. Therefore, it is ...