Taking into account some likeness of moderate deviations (MD) and central limit theorems (CLT), we develop an approach, which made a good showing in CLT, for MD analysis of a family S κ t = 1 t κ t 0 H(Xs)ds, t → ∞ for an ergodic diffusion process Xt under 0.5 < κ < 1 and appropriate H. We mean a decomposition with " corrector " : 1 t κ t 0 H(Xs)ds = corrector + 1 t κ Mt martingale. and show th...

We establishe the polynomial convergence of a new class of pathfollowing methods for linear complementarity problems (LCP). Namely, we show that the predictor-corrector methods based on the L2 norm neighborhood. Mathematics Subject Classification: 90C33, 65G20, 65G50

A reflective-type liquid crystal (LC) wavefront corrector with modal addressing is described. The corrector’s backplane has an array of pixel electrodes interconnected by a network of discrete resistors. The resistive network serves to form the local voltage profile that controls the phase distribution generated in the liquid crystal layer. This design is realized in a bipolar silicon technolog...

In this paper, we suggest and analyze a new two-step predictor–corrector type iterative methods for solving nonlinear equations of the type f(x) = 0 by using the technique of updating the solution. This method can be viewed as a predictor– corrector iterative Halley’s method. We also consider the convergence analysis of the proposed method. To illustrate the efficiency of this new method, we gi...

Efficient collection and analysis of trapped ion qubit fluorescence is essential for robust qubit state detection in trapped ion quantum computing schemes. We discuss simple techniques of improving photon collection efficiency using high numerical aperture (N.A.) reflective optics. To test these techniques we placed a spherical mirror with an effective N.A. of about 0.9 inside a vacuum chamber ...

This paper describes the components used in the design of the commercial X u x e n I I spelling checker/corrector for Basque. It is a new version of the Xuxen spelling corrector (Aduriz et al., 97) which uses lexical transducers to improve the process. A very important new feature is the use of user dictionaries whose entries can recognise both the original and inflected forms. In languages wit...