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 ... 
Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis
(Springer, 20150220)We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the ... 
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 simple shear at dynamic strain rates
(Elsevier, 201312)During severe impact conditions, brain tissue experiences a rapid and complex deformation, which can be seen as a mixture of compression, tension and shear. Diffuse axonal injury (DAI) occurs in animals and humans when ... 
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 ... 
Mechanical properties of excised human skin
(Springer Verlag, 2010)In this study we have investigated in influence of location, gender and orientation on the deformation characteristics of 55 samples of human excised skin. Uniaxial tensile tests were carried out at a strain rate of ... 
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, ... 
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, ... 
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 ...