We study the effective large-scale behavior of discrete elliptic equations on the lattice Z with random coefficients. The theory of stochastic homogenization relates the random but stationary field of coefficients with a deterministic matrix of effective coefficients. This is done via the corrector problem, which can be viewed as a highly degenerate elliptic equation on the infinite-dimensional...

The paper describes an application-oriented system that corrects agreement errors. In order to correct a sentence with such errors, an extended morphological structure is created which contains various grammatical forms of the words used in the sentence. For this structure the bottom-up parsing is performed, and syntactic structures are found that contain minimal number of changes in comparison...

The “Echo” method, elaborated by Adamczyk, which is commonly applied in many logopaedic clinics, requires the use of the delayed auditory feedback. The devices which perform this task may nowadays be replaced with a typical computer equipped with a sound set and delaying programme. In the article the authors present a real-time application, implemented on the basis of standard sound functions s...

In this paper, we consider some aspects of the numerical analysis mathematical model fractional Duffing with a derivative variable order Riemann-Liouville type. Using methods: an explicit finite-difference scheme based on Grunwald-Letnikov and Adams-Bashford-Moulton approximations (predictor-corrector), proposed is found. These methods have been verified test case. It shown that predictor-corre...

Abstract A new primal-dual interior-point algorithm applicable to nonsymmetric conic optimization is proposed. It a generalization of the famous suggested by Nesterov and Todd for symmetric case, uses scalings cones proposed Tunçel. We specialize Tunçel’s important case 3 dimensional exponential-cones, resulting in practical with good numerical performance, on level standard cone ( e.g. , quadr...

We present a prototype of an adaptive intraocular lens based on a modal liquid-crystal spatial phase modulator with wireless control. The modal corrector consists of a nematic liquid-crystal layer sandwiched between two glass substrates with transparent low- and high-ohmic electrodes, respectively. Adaptive correction of ocular aberrations is achieved by changing the amplitude and the frequency...

Thanks to their high sensitivity and low-cost, metal oxide gas sensors (MOX) are widely used in gas detection, although they present well-known problems (lack of selectivity and environmental effects…). We present in this paper a novel neural network- based technique to remedy these problems. The idea is to create intelligent models; the first one, called corrector, can automatically linearize ...

In this paper, we have designed, implemented and tested a spell corrector for the Hausa language which is the second most spoken language in Africa and do not yet have processing tools. This study is a contribution to the automatic processing of the Hausa language. We used existing techniques for other languages and adapted them to the special case of the Hausa language. The corrector designed ...