A discriminant method was proposed for modeling and quantifying the consistency of regulatory mechanisms in cardiovascular system (CVS) apparently healthy volunteers those suffering from circulatory disorders associated with cervical spine osteochondrosis (OCS) somatoform autonomic dysfunction (SAD). The congruence parameters ECG intervalometry (DCI) pulse wave duration (PWD) according to volun...

In this paper, we develop stability, dissipativity, and optimality notions for dynamical systems with discontinuous vector fields. Specifically, we consider dynamical systems with Lebesgue measurable and locally essentially bounded vector fields characterized by differential inclusions involving Filippov set-valued maps specifying a set of directions for the system velocity and admitting Filipp...

Using high-frequency data, we decompose the time-varying beta for stocks into beta for continuous systematic risk and beta for discontinuous systematic risk. Estimated discontinuous betas for S&P500 constituents between 2003 and 2011 generally exceed the corresponding continuous betas. We demonstrate how continuous and discontinuous betas decrease with portfolio diversification. Using an equiwe...

Over the last few years, several mixed discontinuous Galerkin finite element methods (DGFEM) have been proposed for the discretization of incompressible fluid flow problems. We mention here only the piecewise solenoidal discontinuous Galerkin methods introduced in [5,25], the local discontinuous Galerkin methods of [12,11], and the interior penalty methods studied in [24,33,18]. Some of the mai...

As we have seen in previous chapters (Chapter 4 by Callaghan, and Chapter 5 by Le Bihan), nuclear magnetic resonance (NMR) is the gold standard for measuring the diffusivity of water and other spin-labeled species. It is the least perturbing measurement imaginable, providing extremely accurate and precise data. We have also learned that the subsequent combination of the Stejskal and Tanner puls...