We prove a general theorem providing smoothed analysis estimates for conic condition numbers of problems of numerical analysis. Our probability estimates depend only on geometric invariants of the corresponding sets of ill-posed inputs. Several applications to linear and polynomial equation solving show that the estimates obtained in this way are easy to derive and quite accurate. The main theo...

As XML is becoming widely accepted as a mean of storing, searching and extracting information, a larger number of Web applications will require conceptual models and administrative tools to organize their collections of documents. Recently, event-condition-action (ECA) rules have been proposed to provide reactive functionality into XML document databases. However, logical inference mechanisms t...

" Efficient evanescent wave coupling conditions for waveguide-integrated thin-film SiGe photodetectors on silicon-on-insulatorgermanium-on-insulator substrates. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how ...

We study a class of finite dimensional quantum dynamical semigroups {e}t≥0 whose generators L are sums of Lindbladians satisfying the detailed balance condition. Such semigroups arise in the weak coupling (van Hove) limit of Hamiltonian dynamical systems describing open quantum systems out of equilibrium. We prove a general entropic fluctuation theorem for this class of semigroups by relating t...

A model for the dynamics of the length distribution in co-localized groups of polar polymer filaments is presented. It considers nucleation, polymerization at plus-ends, and depolymerization at minus-ends and is derived as a continuous macroscopic limit from a discrete description. Its main feature is a nonlinear coupling due to competition of the depolymerizing ends for the limited supply of a...

Studying neural coding through neural energy is a novel view. In this paper, based on previously proposed single neuron model, the correlation between the energy consumption and the parameters of the cortex networks (amount of neurons, coupling strength, and transform delay) under an oscillational condition were researched. We found that energy distribution varies orderly as these parameters ch...

An increase in atmospheric pollution markedly affects the climatic environment. Aerosol is main component of pollutants and has a significant influence on changes reference crop evapotranspiration (ET0), while effects aerosol ET0 are still unclear. In this study, meteorological elements Henan Province was evaluated using online two-way coupling WRF (Weather Research Forecast)–Chem. The results ...