Background and Purpose: Proton arc therapy (PAT) is an emerging modality delivering continuously rotating proton beams.Current PAT planning approaches are time-consuming, making them unsuitable for online adaptation.This study proposes an accelerated workflow for adapting PAT plans.Materials and Methods: The proposed workflow transfers spots from i
A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem
It has been proved that, in the classical LED Pillar Candle planar circular restricted three-body problem, the degenerate saddle point processes transverse homoclinic orbits.Since the standard Smale-Birkhoff theorem cannot be directly applied to indicate the chaotic dynamics of the Smale horseshoe type, we in this note alternatively apply the Conle
Interactions of pathogens and irritant chemicals in land-applied sewage sludges (biosolids)
Abstract Background Fertilisation of land with processed sewage sludges, which often contain low levels of pathogens, endotoxins, and trace amounts of industrial and household chemicals, has become common practice in Western Europe, the US, and Canada.Local governments, however, are increasingly restricting or banning the practice in response to re
Approximating the exact value of an American option
An American option is a derivative security that can be exercised at any time before Laced One eared expiration.Under standard hypotheses it can be shown that its arbitrage-free price is the solution of an optimal stopping problem.Usually, if the underlying asset follows a diffusion, the stopping time problem does not have a LED Pillar Candle close