Browsing School of Mathematics, Statistics and Applied Mathematics by Title
Now showing items 176-195 of 275
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On the quiver presentation of the descent algebra of the symmetric group
(Elsevier, 2013-03-18)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 pseudo-planar 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, 2017-12-28)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 thermodynamic consistency of Quasi-linear viscoelastic models for soft solids
(Elsevier, 2020-12-15)Originating in the field of biomechanics, Fung's model of quasi-linear viscoelasticity (QLV) is one of the most popular constitutive theories employed to compute the time-dependent relationship between stress and deformation ... -
On the third- and fourth-order constants of incompressible isotropic elasticity.
(Acoustical Society of America, 2010-04-25)Consider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress-strain relation can ... -
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 2013-07-16)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 non-trivial degeneration limit where one torus is pinched down ... -
Onde de Love Piézoacoustique
(2006-04-24)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 non-linearity in the elastic bending of blocks
(American Society of Mechanical Engineers, 2013-01-25)The classical flexure problem of non-linear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general moment-bending angle ... -
Partition functions and chiral algebras.
(American Mathematical Society, 2007-05)We discuss recent work of the authors concerning correlation functions and partition functions for free bosons/fermions and the b-c or ghost system. We compare and contrast the nature of the 1-point functions at genus 1, ... -
Pattern evolution in bending dielectric-elastomeric bilayers
(Elsevier, 2019-07-24)We propose theoretical and numerical analyses of smart bending deformation of a dielectric-elastic bilayer in response to a voltage, based on the nonlinear theory of electro-elasticity and the associated linearized incremental ... -
Perspectives on allele-specific expression
(Annual Reviews, 2021-04-28)Diploidy has profound implications for population genetics and susceptibility to genetic diseases. Although two copies are present for most genes in the human genome, they are not necessarily both active or active at the ... -
Phase behaviour of self-assembled monolayers controlled by tuning physisorbed and chemisorbed states: A lattice-model view
(American Institute of Physics, 2016-04-07)The self-assembly of molecules on surfaces into 2D structures is important for the bottom-up fabrication of functional nanomaterials, and the self-assembledstructure depends on the interplay between molecule-molecule ... -
Piezoacoustic wave spectra using improved surface impedance matrix: Application to high impedance-contrast 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 Y-cut mm2 substrates
(IEEE, 2006-11)Consider a layer consisting of a m3m dielectric crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semi-infinite mm2 piezoelectric substrate. For an X- or Y-cut of the substrate, a Love wave can ... -
A point-distribution index and its application to sensor-grouping in wireless sensor networks
(ACM, 2006)We propose [i], a novel index for evaluation of point-distribution. [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 ... -
Post-buckling development in soft particulate composites
(Elsevier, 2023-07-26)In this paper, we investigate the post-buckling development of instability-induced patterns in soft particulate composites. Upon reaching the critical strain level, the composite experiences microstructural buckling. ... -
The Poynting effect
(American Association of Physics Teachers, 2020-11-19)Intuition suggests that twisting a cylinder will shorten it, but here it is shown that for a cylinder of an incompressible material, like rubber, twisting will always produce elongation. -
Poynting effect of brain matter in torsion
(Royal Society of Chemistry, 2019-06-13)We investigate experimentally and model theoretically the mechanical behaviour of brain matter in torsion. Using a strain-controlled 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 ...