Physical Sciences and Mathematics Commons^™

Hexagons And Squares In A Passive Nonlinear Optical System, John Geddes, R.A. Indik, J.V. Moloney, Willie Firth

John B. Geddes

Pattern formation is analyzed and simulated in a nonlinear optical system involving all three space dimensions as well as time in an essential way. This system, counterpropagation in a Kerr medium, is shown to lose stability, for sufficient pump intensity, to a nonuniform spatial pattern. We observe hexagonal patterns in a self-focusing medium, and squares in a self-defocusing one, in good agreement with analysis based on symmetry and asymptotic expansions.

An Investigation Of The Stability Of Carbonate Minerals, Andrea Koziol

Andrea M. Koziol

A Note On The Real Symmetric Eigenvalue, William F. Trench

William F. Trench

No abstract provided.

A Bayesian Approach To Additive Nonparametric Regression, Michael S. Smith, Robert Kohn

Michael Stanley Smith

This proceedings paper was the first to suggest using a Gaussian g-prior combined with a point mass to undertake Bayesian variable selection in a Gaussian linear regression model. It also was the first to suggest integrating out the regression parameters and variance in closed form, resulting in an efficient Gibbs sampling scheme. The idea was applied to estimate regression functions in an additive model by using a linear basis expansion for each component function in an additive model. The conference proceeding was eventually published in a slightly tighter form in Journal of Econometrics (1996).

Determination Of Plasma Parameters In A Dc Arcjet Diamond Reactor: Part 1, Scott Reeve, Wayne Weimer

Scott Reeve

No abstract provided.

The Variable Elision Of Unstressed Vowels In European Portuguese: A Case Study, David James Silva

David Silva