The contribution is focused on change point detection in a one-dimensional stochastic process by sparse parameter estimation from an overparametrized model. A stochastic process with change in the mean is estimated using dictionary consisting of Heaviside functions. The basis pursuit algorithm is used to get sparse parameter estimates. The mentioned method of change point detection in a stochas...

The covariant formulation of Maxwell’s equations can be expressed in a form independent of the usual systems of units by introducing the constants α, β and γ into these equations. Maxwell’s equations involving these constants are then specialized to the most commonly used systems of units: Gaussian, SI and Heaviside–Lorentz by giving the constants α, β and γ the values appropriate to each system.

A quasi-free quantum particle endowed with Heaviside position dependent mass jump is observed to experience scattering effects manifested by its by-product introduction of the derivative of the Dirac’s-delta point dipole interaction, δ′ (x) = ∂xδ (x). Using proper parametric mappings, the reflection and transmission coefficients are obtained. A new ordering ambiguity parameters set, as the only...

The application of non-classical approach the boundary integral equation method in combination with Laplace transform time to anisotropic elastic wave modeling is considered. In contrast classical which successfully implemented for solving three-dimensional isotropic problems dynamic theory elasticity, viscoelasticity and poroelasticity, alternative nonclassical formulation equations presented ...

In the sense of distributions, derivative Heaviside unit step function $H(t)$ is a generalized Dirac-$\delta$ distribution. If velocity $V(t)$ flat plate impulsive, as $V(t)=H(t)$ (i.e., it suddenly set into motion with at $t=0^+$), then its acceleration $V'(t)=\delta(t)$. The distribution has no point values. However, when forcing term an ODE (in $t$), contributes to solution. recently publish...

Pharmacokinetic compartment models are the only that can extract pharmacokinetic parameters from data collected in clinical studies but their estimates lack accuracy, explanations and physiological significance. The objective of this work was to develop particular solutions drug concentration AUC form mathematical series Heaviside functions for repetitive intermittent infusions one- two-compart...