In this paper we shall study the initial functions in a cascade algorithm in a Sobolev space. By investigating the mutual relations among the initial functions in a cascade algorithm, we are able to study in a relatively unified approach several questions related to cascade algorithms and subdivision schemes in a Sobolev space W k p (Rs) (1 6 p 6∞, k ∈ N∪{0}) such as convergence, error estimate...

A classical model for social-influence-driven opinion change is the threshold model. Here we study cascades of opinion change driven by threshold model dynamics in the case where multiple initiators trigger the cascade, and where all nodes possess the same adoption threshold ϕ. Specifically, using empirical and stylized models of social networks, we study cascade size as a function of the initi...

breathomics is the metabolomics study of exhaled air. it is a powerful emerging metabolomics research field that mainly focuses onhealth-related volatile organic compounds (vocs). since the quantity of these compounds varies with health status, breathomics assuresto deliver noninvasive diagnostic tools. thus, the main aim of breathomics is to discover patterns of vocs related to abnormal metabo...

background:  the development of nanotechnology has been a boon to mankind as its significance paved the way for several applications in therapeutics. this study was to evaluate the anti-arthritic capability of nano selenium-lovastatin mixture (lov-se) against inflammatory cascade in arthritic irradiated rats. materials and methods: animal model of arthritis was organized by subcutaneous injecti...

A simple semi-phenomenological model, which accurately predicts the dependence of thresholdcurrent for temperature of Resonant-phonon three well quantum cascade laser based on verticaltransitions is offered. We found that, the longitude optical phonon scattering of thermally excitedelectrons is the most important limiting factor for thermal performance of high frequency THz QCLs.In low frequenc...