Mathematics (Scholarly Articles): Recent submissions
Now showing items 21-40 of 228
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The Varchenko determinant of a Coxeter arrangement
(De Gruyter, 2018)The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization ... -
On the invariants of the cohomology of complements of Coxeter arrangements
(Elsevier, 2019-05-24)We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group W. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit ... -
Proton resonance frequency shift thermometry: A review of modern clinical practices
(Wiley, 2020-11-20)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 ... -
Nonlinear response and axisymmetric wave propagation in functionally graded soft electro-active tubes
(Elsevier, 2020-10-02)Soft electro-active (SEA) materials can be designed and manufactured with gradients in their material properties, to modify and potentially improve their mechanical response in service. Here, we investigate the nonlinear ... -
Head-to-nerve analysis of electromechanical impairments of diffuse axonal injury
(Springer, 2018-11-14)The aim was to investigate mechanical and functional failure of diffuse axonal injury (DAI) in nerve bundles following frontal head impacts, by finite element simulations. Anatomical changes following traumatic brain injury ... -
Stability analysis of charge-controlled soft dielectric plates
(Elsevier, 2020-04-06)We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical pre-stress applied on its lateral faces and an electric field applied through its thickness under charge control. The ... -
Electrothermal equivalent three-dimensional finite-element model of a single neuron
(Institute of Electrical and Electronics Engineers, 2017-09-14)Objective: We propose a novel approach for modelling the interdependence of electrical and mechanical phenomena in nervous cells, by using electrothermal equivalences in finite element (FE) analysis so that existing ... -
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 ... -
Electro-mechanically guided growth and patterns
(Elsevier, 2020-07-01)Several experiments have demonstrated the existence of an electro-mechanical effect in many biological tissues and hydrogels, and its actual influence on growth, migration, and pattern formation. Here, to model these ... -
Electro-elastic Lamb waves in dielectric plates
(Elsevier, 2020-05-20)We study the propagation of Lamb waves in soft dielectric plates subject to mechanical and electrical loadings and find the explicit expressions for the dispersion equations in the cases of neo-Hookean and Gent dielectrics. ... -
The effect of an exterior electric field on the instability of dielectric plates
(The Royal Society, 2020-07-29)We investigate the theoretical nonlinear response, Hessian stability, and possible wrinkling behaviour of a voltage-activated dielectric plate immersed in a tank filled with silicone oil. Fixed rigid electrodes are placed ... -
Electrostatically tunable axisymmetric vibrations of soft electro-active tubes
(Elsevier, 2020-05-28)Due to their unique electromechanical coupling properties, soft electro-active (SEA) resonators are actively tunable, extremely suitable, and practically important for designing the next-generation acoustic and vibration ... -
Actively controllable topological phase transition in phononic beam systems
(Elsevier, 2020-05-01)Topological insulators, which allow edge or interface waves but forbid bulk waves, have revolutionized our scientific cognition of acoustic/elastic systems. Due to their nontrivial topological characteristics, edge (interface) ... -
Selection shapes synonymous stop codon use in mammals
(Springer (part of Springer Nature), 2020-07-02)Phylogenetic models of the evolution of protein-coding sequences can provide insights into the selection pressures that have shaped them. In the application of these models synonymous nucleotide substitutions, which do not ... -
Stability analysis of charge-controlled soft dielectric plates
(Elsevier, 2020-04-06)We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical pre-stress applied on its lateral faces and an electric field applied through its thickness under charge control. The ... -
Lower bounds on the non-Clifford resources for quantum computations
(IOP Publishing, 2020-05-28)Treating stabilizer operations as free, we establish lower bounds on the number of resource states, also known as magic states, needed to perform various quantum computing tasks. Our bounds apply to adaptive computations ... -
Global and local tests to assess stationarity of Markov transition models
(Taylor & Francis, 2018-02-09)We present global and local likelihood-based tests to evaluate stationarity in transition models. Three motivational studies are considered. A simulation study was carried out to assess the performance of the proposed ... -
A Weibull-count approach for handling under- and overdispersed longitudinal/clustered data structures
(SAGE Publications, 2018-07-30)A Weibull-model-based approach is examined to handle under- and overdispersed discrete data in a hierarchical framework. This methodology was first introduced by Nakagawa and Osaki (1975, IEEE Transactions on Reliability, ... -
Simulation of quantum circuits by low-rank stabilizer decompositions
(Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2019-09-02)Recent work has explored using the stabilizer formalism to classically simulate quantum circuits containing a few non-Clifford gates. The computational cost of such methods is directly related to the notion of s t a ... -
Prescribing patterns in growing tubular soft matter by initial residual stress
(Royal Society of Chemistry, 2019-10-02)Initial residual stress is omnipresent in biological tissues and soft matter, and can affect growth-induced pattern selection significantly. Here we demonstrate this effect experimentally by letting soft tubes grow in the ...