The theory of free monoids lies at the crossroads of mathematics and theoretical computer science. Many problems studied in free monoid theory have their origins in theoretical computer science. On the other hand, their solutions often require deep methods from classical mathematics. D0L systems constitute a very natural framework for studying free monoid morphisms and their iterations. Infinit...

The main theme of this volume is the efficient solution of families of stochastic or parametric partial differential equations. This article focuses on the theoretical underpinnings of such methods. It shows how concepts from approximation theory, such as entropy or widths, can help quantify a priori how well such methods can perform. This theory is then used to analyze one of the primary numer...

The decorrelation stretch is a process that is used to enhance (stretch) the color differences found in a color image. The method used to do this includes the removal of the inter-channel correlation found in the input pixels; hence, the term "decorrelation stretch". The purpose of this document is to explain: 1) the conditions that normally appear in multispectral data that indicate that color...

Numerical simulations of hydromagnetic turbulence in the presence of shear and/or convection have given us new clues as to how the solar dynamo might work. Simulations suggest that here is signiicant large-scale magnetic eld generation at the bottom of the convection zone, where the radial shear is largest. The nature of the dynamo in the simulations seems to be qualitatively similar to an-dyna...