The effect of fiber loss, amplification, and sliding-frequency filters on the evolution of optical pulses in nonlinear optical fibers is considered, this evolution being governed by a perturbed nonlinear Schrödinger (NLS) equation. Approximate ordinary differential equations (ODE's) governing the pulse evolution are obtained using conservation and moment equations for the perturbed NLS equation...

A quantitative description of the configurational part of the total energy of metallic alloys with substantial atomic size difference cannot be achieved in the atomic sphere approximation: It needs to be corrected at least for the multipole moment interactions in the Madelung part of the one-electron potential and energy. In the case of a random alloy such interactions can be accounted for only...

Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations. Given a system of nonlinear differential equations, we apply a technique based on finite differences and sparse SDP relaxations for polynomial optimization problems (POP) to obtain a di...

Avatar is a new architecture devised to perform onthe-fly malware analysis and containment on ordinary hosts; that is, on hosts with no special setup. The idea behind Avatar is to inject the suspected malware with a specially crafted piece of software at the moment that it tries to download an executable. The special software can cooperate with a remote analysis engine to determine the main cha...

We investigate the validity of Thorne’s hoop conjecture in non-axisymmetric spacetimes by examining the formation of apparent horizons numerically. If spaces have a discrete symmetry about one axis, we can specify the boundary conditions to determine an apparent horizon even in non-axisymmetric spaces. We implement, for the first time, the “hoop finder” in non-axisymmetric spaces with a discret...

This article uses the moralized markets and markets as politics literatures in economic sociology to explore the emerging industry of private consultants who produce ‘democratic’ dialogues for organizational clients from all sectors. In multi-method field research, we (a) trace moralized processes by which market activity and political process are distinguished in an era of financial crisis, an...

A storage room contains a bulk of agricultural products, such as potatoes, onions, fruits, etcetera. The products produce heat due to respiration, see for example [?, ?]. A ventilator blows cooled air around to keep the products at a steady temperature and prevent spoilage. The aim is to design a control law such that the product temperature is kept at a constant, desired level. The system cont...

where an, bn > 0 and ∑ n an = ∞. Then there exist a threshold α, such that f( ) = ∞ for < α, while f( ) < ∞ for > α. The so-called precise asymptotics problem consists in finding, under appropriate moment conditions, an elementary function g( ) > 0, > α, such that lim ↓α g( ) = 0 and lim ↓α g( )f( ) = l = 0,∞, i.e., in establishing that f( ) ∼ l/g( ) as ↓ α. For almost exhaustive references on ...

Generalized method of moments (GMM) estimation has become an important unifying framework for inference in econometrics in the last 20 years. It can be thought of as encompassing almost all of the common estimation methods, such as maximum likelihood, ordinary least squares, instrumental variables, and two-stage least squares, and nowadays is an important part of all advanced econometrics textb...

We consider pure SU(2) Yang–Mills theory on four-dimensional de Sitter space dS4 and construct a smooth and spatially homogeneous magnetic solution to the Yang–Mills equations. Slicing dS4 as R×S3, via an SU(2)-equivariant ansatz we reduce the Yang–Mills equations to ordinary matrix differential equations and further to Newtonian dynamics in a double-well potential. Its local maximum yields a Y...