Browsing Mathematics (Scholarly Articles) by Title
Now showing items 94113 of 186

Methodical fitting for mathematical models of rubberlike materials
(The Royal Society Publishing, 20170208)A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an indepth understanding of the successive stages of large extension is still lacking. We show that the response can be ... 
Minimal characteristic bisets and finite groups realizing RuizViruel exotic fusion systems
(Elsevier, 2011)Continuing our previous work (Park, 2010) [2], we determine a minimal left characteristic biset X for every exotic fusion system FF on the extraspecial group S of order 73 and exponent 7 discovered by Ruiz and Viruel (2004) ... 
Mining social networks using heat diffusion processes for marketing candidates selection
(ACM, 2008)Social Network Marketing techniques employ preexisting social networks to increase brands or products awareness through wordofmouth promotion. Full understanding of social network marketing and the potential candidates ... 
The mod 2 cohomology rings of SL2 of the imaginary quadratic integers
(Elsevier ScienceDirect, 20150928)We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL2 groups over imaginary quadratic integers on their associated symmetric space. By way of doing this, ... 
Modified multiplicative decomposition model for tissue growth: Beyond the initial stressfree state
(Elsevier, 20180519)The multiplicative decomposition model is widely employed for predicting residual stresses and morphologies of biological tissues due to growth. However, it relies on the assumption that the tissue is initially in a ... 
Monstrous and Generalized Moonshine and Permutation Orbifolds
(2008)We consider the application of permutation orbifold constructions towards a new possible understanding of the genus zero property in Monstrous and Generalized Moonshine. We describe a theory of twisted Hecke operators in ... 
Multiples of Pfister forms
(Elsevier, 20160301)The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ... 
N=2 and N=4 subalgebras of super vertex operator algebras
(IOP Publishing, 20180110)We develop criteria to decide if an N=2 or N=4 super conformal algebra is a subalgebra of a super vertex operator algebra in general, and of a super lattice theory in particular. We give some specific examples. 
Noninvasive evaluation of skin tension lines with elastic waves
(Wiley, 20171120)Background: Since their discovery by Karl Langer in the 19th Century, Skin Tension Lines (STLs) have been used by surgeons to decide the location and orientation of an incision. Although these lines are patientspecific, ... 
Nonprincipal surface waves in deformed incompressible materials
(Elsevier, 2005)The Stroh formalism is applied to the analysis of infinitesimal surface wave propagation in a statically, finitely and homogeneously deformed isotropic halfspace. The free surface is assumed to coincide with one of the ... 
Nonlinear Euler buckling
(Royal Society Publishing, 200811)The buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for ... 
Nonlinear transverse waves in deformed dispersive solids
(Elsevier, 2008)We present a phenomenological approach to dispersion in nonlinear elasticity. A simple, thermomechanically sound, constitutive model is proposed to describe the (nondissipative) properties of a hyperelastic dispersive ... 
A note on element centralizers in finite Coxeter groups
(De Gruyter, 20110829)The normalizer NW(WJ) of a standard parabolic subgroup WJ of a finite Coxeter group W splits over the parabolic subgroup with complement NJ consisting of certain minimal length coset representatives of WJ in W. In ... 
Oblique wrinkles
(The Royal Society Publishing, 20170403)We prove theoretically that when a soft solid is subjected to an extreme deformation, wrinkles can form on its surface at an angle that is oblique to a principal direction of stretch. These oblique wrinkles occur for a ... 
On a question of Serre
(2012)Consider an imaginary quadratic number field Q(root m), with m a squarefree positive integer, and its ring of integers {O} . The Bianchi groups are the groups SL2{O}. Further consider the BorelSerre compactification [7] ... 
On anisotropic elasticity and questions concerning its Finite Element implementation
(Springer, 20130521)We give conditions on the strainenergy function of nonlinear anisotropic hyperelastic materials that ensure compatibility with the classical linear theories of anisotropic elasticity. We uncover the limitations associated ... 
On deforming a sector of a circular cylindrical tube into an intact tube: Existence, uniqueness, and stability
(Elsevier, 201011)Within the context of finite deformation elasticity theory the problem of deforming an open sector of a thickwalled circular cylindrical tube into a complete circular cylindrical tube is analyzed. The analysis provides a ... 
On Genus Two Riemann Surfaces Formed from Sewn Tori
(2006)We describe the period matrix and other data on a higher genus Riemann surface in terms of data coming from lower genus surfaces via an explicit sewing procedure. We consider in detail the construction of a genus two Riemann ... 
On Level One Cuspidal Bianchi Modular Forms
(2013)In this paper, we present the outcome of vast computer calculations, locating several of the very rare instances of level one cuspidal Bianchi modular forms that are not lifts of elliptic modular forms. 
On magnetoacoustic waves in finitely deformed elastic solids
(SAGE Journals, 2011)In this paper, in the context of the quasimagnetostatic approximation, we examine incremental motions superimposed on a static finite deformation of a magnetoelastic material in the presence of an applied magnetic field. ...