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Representations of the Extended Poincare Superalgebras in Four Dimensions
(2016-05-13)
Eugene Wigner used the Poincare group to induce representations from the fundamental internal space-time symmetries of (special) relativistic quantum particles. Wigner’s students spent considerable amount of time translating ...
A Bisection Method for the Banded Hyperbolic Quadratic Eigenvalue Problem
(2016-05-10)
It is well-known that the eigenvalues of a Hermitian matrix in a given interval can be approximated within a predefined error tolerance using the bisection method as a direct application of the Sylvester's Law of Inertia. ...
On the Quantum Spaces of Some Quadratic Regular Algebras of Global Dimension Four
(2016-05-10)
A quantum $\mathbb{P}^3$ is a noncommutative analogue of a polynomial ring on four variables, and, herein, it is taken to be a regular algebra of global dimension four. It is well known that if a generic quadratic quantum ...
Reproductive Numbers for Periodic Epidemic Systems
(2016-08-09)
When using mathematics to study epidemics, often times the goal is to deter- mine when an infection can invade and persist within a population. This can be done in a variety of ways but the most common is to use threshold ...
Support and Rank Varieties of Totally Acyclic Complexes
(2016-08-12)
Support and rank varieties of modules over a group algebra of an elementary abelian p-group have been well studied. In particular, Avrunin and Scott showed that in this setting, the rank and support varieties are equivalent. ...
Stochastic Reliability Models for a General Server and Related Networks
(2016-04-22)
There are many types of systems which can be dubbed servers, i.e. a retail checkout counter, a shipping company, a web server, or a customer service hotline. All of these systems have common general behavior: requests or ...
THREE DIMENSIONAL IMAGE RECONSTRUCTION (3DIRECT) OF SPARSE SIGNALS WITH MRI APPLICATION
(2016-11-29)
Sparse signal reconstruction has been steadily gaining tremendous attention, specifically in applications of compressed sensing as well as feature selection in signal processing methods [IEEE Signal Processing, Vol. 25 ...
EXPECTATION MAXIMIZATION-BASED LIKELIHOOD INFERENCE FOR COM-POISSON CURE RATE MODEL WITH INTERVAL CENSORED DATA
(2016-12-02)
A cure rate or long-term survival model is a model for survival data with the presence of a cure fraction. In this study, we consider the analysis of a cure rate model with interval-censored data, which is one of the most ...
A Harmonic Function Method for EEG Source Reconstruction
(2016-12-19)
Neuronal activities generate the electrical current in the brain, and further result in the potential changes over the scalp. Electroencephalography (EEG) is a
technique used to record the potential changes on the ...
Numerical Construction of Diffeomorphism and the Applications to Grid Generation and Image Registration
(2016-08-12)
Diffeomorphism is an active research topic in differential geometry. In this area, the existence and construction of diffeomorphism under certain constraints is an interesting and meaningful task. J. Moser first proved the ...