Waveforms arising from power electronics circuits often contain slowly changing segments with highfrequency details concentrated near the switching instants. Such a feature is consistent with the localization property of wavelets which are known in the signal processing literature to be highly suitable for describing fast changing edges embedded in slowly varying backgrounds. This paper conside...

 Introduction:The commercial 252Cf sources are too large in size and clinical applications of neutronbrachytherapy (NBT) are limited to a small number of intracavitary treatments of cervical cancers. Recently, under the Cooperative Research and Development Agreement (CRADA) with Isotron Inc., the Oak Ridge National Laboratory (ORNL) encapsulated a new medical 252Cf sources, cal...

Theoretical treatments of frictional granular matter often assume that it is legitimate to invoke classical elastic theory describe its coarse-grained mechanical properties. Here we show, based on experiments and numerical simulations, this generically not the case since stress auto-correlation functions decay more slowly than Green's function. It was shown theoretically standard demands pressu...

In this work we use theory to obtain a mathematical expression for a time correlation function c(l,t) that provides insight into the zipping phenomena along a polymer going through a conformational transition. The polymer is modeled as an Ising-like chain with each segment being in one of two states: bound (+1) or unbound (-1). The time correlation function c(l,t) predicts the correlation betwe...

Brain evoked potential (EP) data consist of a true response ("signal") and random background activity ("noise"), which are observed over repeated stimulus presentations ("trials"). A signal that changes slowly from trial to trial can be estimated by smoothing across trials and over time within trials. We present a method for selecting the smoothing parameter by minimizing an estimate of the mea...

Central nervous system (CNS) involvement from breast cancer (BC) has been historically considered a relatively rare event. However, the development of new therapeutic strategies with a better control of extra-cranial disease and a longer overall survival (OS) has determined an increased incidence of brain metastases. Patients with HER2-positive or triple negative BC have higher occurrence of CN...

A new multivariate random walk model with slowly changing drift and cross-correlations for multivariate processes is introduced and investigated in detail. In the model, not only the drifts and the cross-covariances but also the cross-correlations between single series are allowed to change slowly over time. The model can accompany any number of components such as many number of assets. The mod...

Recently a Hamiltonian formulation for the evolution of the universe dominated by multiple oscillatory scalar fields was developed by the present author and was applied to the investigation of the evolution of cosmological perturbations on superhorizon scales in the case that scalar fields have incommensurable masses. In the present paper, the analysis is extended to the case in which the masse...