Browsing Mathematics by Title
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Large acoustoelastic effect
(Elsevier, 201203)Classical acoustoelasticity couples smallamplitude elastic wave propagation to an infinitesimal predeformation, in order to reveal and evaluate nondestructively thirdorder elasticity constants. Here, we see that ... 
Large amplitude Love waves
(Oxford Journals, 20080422)In the context of the finite elasticity theory, we consider a model for compressible solids called 'compressible neoHookean material'. We show how finiteamplitude inhomogeneous plane wave solutions and finiteamplitude ... 
Learning latent semantic relations from clickthrough data for query suggestion
(2008)For a given query raised by a specific user, the Query Suggestion technique aims to recommend relevant queries which potentially suit the information needs of that user. Due to the complexity of the Web structure and the ... 
A mathematical model for the release of peptidebinding drugs from affinity hydrogels
(Palgrave, 20150109)A mathematical model for the release of peptidebinding drugs from affinity hydrogels is analyzed in detail. The model is not specific to any particular peptide/drug/gel system, and can describe drug release from a large ... 
A Maximal Eigenvalue Method for Detecting Process Representative Genes by Integrating Data from Multiple Sources
(2008)An important problem in computational biology is the identification of candidate genes which can be considered as representative of the different cellular processes taking place in the cell as it evolves through time. ... 
Measuring knife stab penetration into skin simulant using a novel biaxial tension device
(Elsevier, 2008)This paper describes the development and use of a biaxial measurement device to analyse the mechanics of knife stabbings. In medicolegal situations it is typical to describe the consequences of a stabbing incident in ... 
Mechanical characterization of brain tissue in compression at dynamic strain rates
(Elsevier, 20120302)Traumatic brain injury (TBI) occurs when local mechanical load exceeds certain tolerance levels for brain tissue. Extensive research has been done previously for brain matter experiencing compression at quasistatic loading; ... 
Mechanical characterization of brain tissue in tension at dynamic strain rates
(Elsevier, 20120910)Mechanical characterization of brain tissue at high loading velocities is crucial for modeling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences compression, tension and shear. Limited ... 
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 ... 
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 ... 
NHDC and PHDC: Nonpropagating and propagating heat diffusion classifiers
(12th International Conference on Neural Information Processing, 2005)Abstract  By imitating the way that heat flows in a medium with a geometric structure, we propose two novel classification algorithms, Nonpropagating Heat Diffusion Classifier (NHDC) and Propagating Heat Diffusion ... 
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 correction to the Euler buckling formula for compressed cylinders with guidedguided end conditions
(Springer, 201102)Euler's celebrated buckling formula gives the critical load N for the buckling of a slender cylindrical column with radius B and length L as N/([pi]^3 B^2 )=(E/4)(B/L)^2, where E is Young's modulus. Its derivation relies ... 
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 ... 
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 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 ...