Principal Components Analysis (PCA) is a common way to study the sources of variation in a high-dimensional data set. Typically, the leading principal components are used to understand the variation in the data or to reduce the dimension of the data for subsequent analysis. The remaining principal components are ignored since they explain little of the variation in the data. However, evolutiona...

A semi-analytical solution is presented for three dimensional elastic analysis of finitelylong, simply supported, orthotropic, laminated cylindrical panels with piezoelectric layers subjected to outer pressure and electrostatic excitation. Both the direct and inverse piezoelectric effects are investigated. The solution is obtained through reducing the highly coupled partial differential equatio...

This article studies the effect of grinding along crystallographic directions on the surface finish of single-crystal silicon. It also discusses new and=or improved processes for precision machining brittle materials, including silicon. Silicon samples were cut from (100) silicon wafers. These samples were then subjected to grinding along different crystallographic directions under the same exp...

The measurement of the energy and the angular distributions of excited atoms desorbed from ion-bombarded solids has been of long-standing interest since these distributions hold the key to understanding the excitation and deexcitation processes. Although many investigators have experimentally determined the energy distributions of atoms ejected in various excited states, all these measurements ...

We study the phase diagram, ground state properties, and excitation gaps of a frustrated spin-Peierls chain, i.e. a spin-Peierls chain with both nearest neighbor exchange J1 and next nearest neighbor exchange J2. The phase diagram is calculated using a bosonization Renormalization-Group (RG) method. We propose a (bosonic) bond-operator mean field approximation to calculate the ground state prop...

We apply transition state theory to coupled Gaussian wave packets and calculate thermal decay rates of Bose–Einstein condensates with additional long-range interaction. The ground state of such a condensate is metastable if the contact interaction is attractive and a sufficient thermal excitation may lead to its collapse. The use of transition state theory is made possible by describing the con...