Darboux transformation for classical acoustic spectral problem

We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two, by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows the steps, similar to those for the Schr\"{o}dinger operator. However, there is no one-to-one correspondence between the two problems. The technique developed enables one to construct new families of integrable potentials for the acoustic problem, in addition to those already known. The acoustic problem produces a non-linear Harry Dym PDE. Using the technique, we reproduce a pair of simple soliton solutions of this equation. These solutions are further used to construct a new positon solution for this PDE. Furthermore, using the dressing chain approach, we build a modified Harry Dym equation together with its LA-pair. As an application, we construct some singular and non-singular integrable potentials (dielectric permitivity) for the Maxwell equations in a 2D inhomogeneous medium.Comment: 16 pages; keywords Darboux (Moutard) transformation, Classical acoustic spectral problem, Reflexionless potentials, Soliton

Multilevel Clustering Fault Model for IC Manufacture

A hierarchical approach to the construction of compound distributions for process-induced faults in IC manufacture is proposed. Within this framework, the negative binomial distribution is treated as level-1 models. The hierarchical approach to fault distribution offers an integrated picture of how fault density varies from region to region within a wafer, from wafer to wafer within a batch, and so on. A theory of compound-distribution hierarchies is developed by means of generating functions. A study of correlations, which naturally appears in microelectronics due to the batch character of IC manufacture, is proposed. Taking these correlations into account is of significant importance for developing procedures for statistical quality control in IC manufacture. With respect to applications, hierarchies of yield means and yield probability-density functions are considered.Comment: 10 pages, the International Conference "Micro- and Nanoelectronics- 2003" (ICMNE-2003),Zvenigorod, Moscow district, Russia, October 6-10, 200

An influence of pretreatment conditions on surface structure and reactivity of Pt(100) towards CO oxidation reaction

We present a combined electrochemical and in situ STM study of the surface structure of Pt(100) single crystal electrodes in dependence on the cooling atmosphere after flame annealing. The following cooling conditions were applied: Ar/H2 and Ar/CO mixtures (reductive atmosphere), argon (inert gas) and air (oxidative atmosphere). Surface characterization by in-situ STM allows deriving direct correlations between surface structure and macroscopic electrochemical behavior of the respective platinum electrodes. We investigated the influence of defect type and density as well as long range surface order on the kinetics of the CO electro-oxidation reaction. The defect-rich Pt(100) electrodes as cooled in air or Ar, and followed by immersion in the hydrogen adsorption region display higher activities as compared to the rather smooth Pt(100)-(1 × 1) electrode cooled in an Ar/H2-atmospher

Public support for the right to euthanasia: Impact of traditional religiosity and autonomy values across 37 nations

This article takes a postmodernization perspective on support for the right to euthanasia by treating it as an expression of a process of value change, as a preference for quality over quantity of life. Using the data from the fifth wave of the World Values Survey, this study attempts to answer the question of whether the mass support for the right to euthanasia is an expression of autonomy values rather than just a function of a low religiosity. Multilevel regressions demonstrate that both traditional religiosity and autonomy values have a high impact at the individual level, while at the country level only the effects of traditional religiosity are significant. Autonomy values have stronger association with attitudes to euthanasia in countries with higher levels of postmaterialism. Multilevel path analysis demonstrates that the effect of religiosity is partially and weakly mediated by the values of autonomy at both levels. Although religiosity was found to have a much stronger impact, the independent effect of autonomy values suggests that mass support for the right to euthanasia is a value-driven preference for quality over quantity of life. We conclude by suggesting that the fall in traditional religiosity might emphasize the role of values in moral attitudes regulation.info:eu-repo/semantics/acceptedVersio