Statistical Inference in a Linear Model for Spatially Located Sensors and Random Input

In the paper we consider a random linear model for observations provided by spatially located sensors measuring signals coming from one source. For this model a set of sufficient and complete statistics are found, and it is shown that the maximum likelihood estimators of unknown parameters (characteristics of the source) are functions of those statistics. The problem of nonnegative estimators of variance components of the model is shortly discussed. Comparisons of the mean squared errors of several estimators are given. Numerical example concerning hunting for defects in solar cells is considered in details.     

Prediction of protein structure using a knowledge-based off-lattice united-residue force field and global optimization methods

A united-residue model of polypeptide chains developed in our laboratories with united side-chains and united peptide groups as interaction sites is presented. The model is designed to work in continuous space; hence efficient global-optimization methods can be applied. In this work, we adopted the distance-scaling method that is based on continuous deformation of the original rugged energy hypersurface to obtain a smoothed surface. The method has been applied successfully to predict the structures of simple motifs, such as the three-helix bundle structure of the 10-58 fragment of staphylococcal protein A in de novo folding simulations and more complicated motifs in inverse-folding simulations. Received: 24 April 1998 / Accepted: 4 August 1998 / Published online: 2 November 1998     

6-Nitrohexene-1 Metathesis in the Presence of Rhenium Heterogeneous Catalysts

6-nitrohexene-1 (6-NH-1) undergoes metathesis in the presence of 16 wt.% Re₂O₇/Al₂O₃/R₄M and 3 wt.% Re₂O₇/Al₂O₃-SiO₂/R₄M (where R = methyl, ethyl; M = Sn or Pb) catalysts. The system containing alumina as a support is more active. Tetramethyltin (TMT) and tetraethyllead (TEL) used as co-catalysts, exhibited similar activating effect which was greater than with tetraethyltin (TET). The best results were obtained when the Re:Sn(Pb) and 6-NH-1:Re ratios were equal, respectively, to 1:1 and 10:1. The alumina-silica supported catalysts activity can be enhanced by doping the support with very small amounts of molybdenum ions.     

EXISTENCE AND CONVERGENCE RESULTS FOR AN ELASTIC FRICTIONAL CONTACT PROBLEM WITH NONMONOTONE SUBDIFFERENTIAL BOUNDARY CONDITIONS

The goal of this paper is to study a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions descri...     

Computation of the Folkman number Fe(3, 3; 5)

With the help of computer algorithms, we improve the lower bound on the edge Folkman number F_e(3, 3; 5) and vertex Folkman number F_v(3, 3; 4), and, thus, show that the exact values of these numbers are 15 and 14, respectively. We also present computer enumeration of all critical graphs. © 1999 John Wiley & Sons, Inc. J Graph Theory 32: 41–49, 1999     

Wave fronts in elastic media with temperature dependent properties

This paper deals with the propagation of shock and acceleration wave fronts in elastic media with temperature dependent properties. The partial differential equations governing the evolution of such waves are derived and solved using the method of Charpit. Solutions for wave front propagation in a thermoelastic layer with exponentially temperature dependent properties are obtained.