Browsing Mathematics by Title
Now showing items 156175 of 243

On the quiver presentation of the descent algebra of the symmetric group
(Elsevier, 20130318)We describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of ... 
On the rectilinear shear of compressible and incompressible elastic slabs
(2010)We review some pseudoplanar deformations for the equations of incompressible isotropic nonlinear elasticity first introduced in 1985 by Rajagopal and Wineman. We extend this class of deformations to compressible isotropic ... 
On the table of marks of a direct product of finite groups
(Elsevier, 20171228)We present a method for computing the table of marks of a direct product of finite groups. In contrast to the character table of a direct product of two finite groups, its table of marks is not simply the Kronecker product ... 
On the third and fourthorder constants of incompressible isotropic elasticity.
(Acoustical Society of America, 20100425)Consider the constitutive law for an isotropic elastic solid with the strainenergy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stressstrain relation can ... 
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 20130716)We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the nontrivial degeneration limit where one torus is pinched down ... 
Onde de Love Piézoacoustique
(20060424)Une sélection de résultats analytiques et numériques concernant la propagation d'ondes planes harmoniques guidées dans un bicouche piézoélectrique est présentée. L'étude effectuée concerne les modes transverses horizontaux ... 
Onset of nonlinearity in the elastic bending of blocks
(American Society of Mechanical Engineers, 20130125)The classical flexure problem of nonlinear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general momentbending angle ... 
Partition functions and chiral algebras.
(American Mathematical Society, 200705)We discuss recent work of the authors concerning correlation functions and partition functions for free bosons/fermions and the bc or ghost system. We compare and contrast the nature of the 1point functions at genus 1, ... 
Pattern evolution in bending dielectricelastomeric bilayers
(Elsevier, 20190724)We propose theoretical and numerical analyses of smart bending deformation of a dielectricelastic bilayer in response to a voltage, based on the nonlinear theory of electroelasticity and the associated linearized incremental ... 
Phase behaviour of selfassembled monolayers controlled by tuning physisorbed and chemisorbed states: A latticemodel view
(American Institute of Physics, 20160407)The selfassembly of molecules on surfaces into 2D structures is important for the bottomup fabrication of functional nanomaterials, and the selfassembledstructure depends on the interplay between moleculemolecule ... 
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 ... 
Poynting effect of brain matter in torsion
(Royal Society of Chemistry, 20190613)We investigate experimentally and model theoretically the mechanical behaviour of brain matter in torsion. Using a straincontrolled rheometer, we perform torsion tests on fresh porcine brain samples. We quantify the torque ... 
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 ... 
Prescribing patterns in growing tubular soft matter by initial residual stress
(Royal Society of Chemistry, 20191002)Initial residual stress is omnipresent in biological tissues and soft matter, and can affect growthinduced pattern selection significantly. Here we demonstrate this effect experimentally by letting soft tubes grow in the ... 
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 ... 
Proton resonance frequency shift thermometry: A review of modern clinical practices
(Wiley, 20201120)Magnetic resonance imaging (MRI) has become a popular modality in guiding minimally invasive thermal therapies, due to its advanced, nonionizing, imaging capabilities and its ability to record changes in temperature. A ... 
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, ...