We prove exponential decay for the solution of the Schrödinger equation on a dissipative waveguide. The absorption is effective everywhere on the boundary but the geometric control condition is not satisfied. The proof relies on separation of variables and the Riesz basis property for the eigenfunctions of the transverse operator. The case where the absorption index takes negative values is als...

In this paper we derive a Newton scoring algorithm for the maximum likelihood separation and directionof-arrival estimation of constant modulus (CM) signals, using a sensors array. We present a rapidly converging scheme for the joint estimation of the signals and their directions, based on their CM property. We discuss initialization and show that the complexity is moderate. 2

We introduce Modular Markovian Logic (MML) for compositional continuous-time and continuous-space Markov processes. MML combines operators specific to stochastic logics with operators reflecting the modular structure of the models, similar to those used by spatial and separation logics. We present a complete Hilbert-style axiomatization for MML, prove the small model property and analyze the re...

We discuss from a bi-Hamiltonian point of view the Hamilton–Jacobi separability of a few dynamical systems. They are shown to admit, in their natural phase space, a quasi–bi– Hamiltonian formulation of Pfaffian type. This property allows us to straightforwardly recover a set of separation variables for the corresponding Hamilton–Jacobi equation.

The chemiluminescence of fluorescein derivatives is greatly enhanced when they are conjugated to proteins. We exploited this property in devising a chemiluminescence immunoassay for rubella antibodies. In this sequential "sandwich"-type assay, tubes coated with rubella antigen are used for antibody separation and goat antibody to human IgG conjugated with fluorescein isothiocyanate is used for ...

We begin a search for degree-theoretic properties that might be used to separate Ramsey’s Theorem for pairs from its stable version in the Reverse Mathematical sense. This paper introduces the notion of c-cappability and shows that this property cannot be used to obtain such a separation when combined with

Ancestral graphs provide a class of graphs that can encode conditional independence re­ lations that arise in directed acyclic graph (DAG) models with latent and selection vari­ ables, corresponding to marginalization and conditioning. However, for any ancestral graph, there may be several other graphs to which it is Markov equivalent. We introduce a simple representation of a Markov equiv­ ale...

PAPER Snurr et al. Structure–property relationships of porous materials for carbon dioxide separation and capture There is an urgent need to identify porous materials that can efficiently separate CO 2 from mixtures of gases, such as the exhaust of fossil-fuel-based power plants and from impure sources of CH 4 (e.g., natural gas and landfill gas). Recently, researchers have investigated collect...

Magnetic poly (acrylonitrile-co-acrylic acid) (PAN-co-AA) composite nanofibers with different proportions of magnetic nanoparticles (MNPs) were fabricated using electrospinning technique. Electrospinning conditions like polymeric concentration, applied voltage, feeding rate, working distance, and collector type were explored and optimized to produce ultrafine- uniform size and bead free nanofib...

Ni2+ supported on hydroxyapatite-core@shell γ-Fe2O3 nanoparticles (γ-Fe2O3@HAp-Ni2+) was found to be a useful catalyst for the synthesis of benzimidazole derivatives from o-phenylenediamine and aldehydes under solvent and solvent-free conditions at 80 °C. This reaction affords the corresponding benzimidazole derivatives compared with the classical reactions this method consistently gives a high...