September 17, 1996: "Fast MRI" Dennis Healy Dept. of Mathematics and Comp. Sci. Dartmouth College ----------------------------------------------------------- September 24, 1996: "Blood as a Suspension of Particles: Implications to Pathologies of Large Arteries" Steve Jones Biomedical Engineering Department Johns Hopkins University ------------------------------------------------------------ October 1, 1996: "An all-optical information superhighway" Ulf Osterberg Dept. of Elec. Eng. Dartmouth College This talk will discuss why we need optical signal processing for some of the decision making in future fiber optic networks. --------------------------------------------------------------- October 8, 1996: "The Spectral Finite Element Method for the Sphere" Mark Taylor NCAR visiting: Dept. of Mathematics and Comp. Sci. Dartmouth College ----------------------------------------------------------------- October 15, 1996: "The FFT - an Algorithm the Whole Family Can Enjoy" Dan Rockmore Dept. of Mathematics Dartmouth College The Fast Fourier Transform can be fun for the whole family - bring the kids and watch a group theorist reinterpret this algorithm before your very eyes! At the end of the talk we will break up into groups and discuss other possible phrases with the acronym FFT. ----------------------------------------------------------------- October 22 AND 24, 1996: "Getting To Know You Week" This week will feature 1/2-hour talks by some of our postdoctoral fellows and visitors, introducing everyone to their research interests. The talks are intended to be for a general math audience. They are in BRADLEY 102. Tuesday, October 22: 4:00-4:30 : JOHN MACKEY 4:35-5:05 : PETER KOSTELEC Thursday, October 24: 3:45-4:15 : JORG BRENDLE 4:20-4:50 : MARK TAYLOR 4:55-5:20 : MEGAN KERR ---------------------------------------------------------------- October 29, 1996: "Quantum Computing - Myth or Math?" Dan Gessel Dept. of Computer Science Dartmouth College Quantum computing has been proposed as a new computational paradigm which takes advantage of the statistical nature of quantum mechanics. In this talk we will explain some of the basic ideas and show how Heisenberg Uncertainty implies that we can never be simultaneously sure of the question asked and the solution computed... ----------------------------------------------------------------- November 5, 1996: "Have you ever reached the global minimum? -- Some developments for nonlinear regression" Eugene Demidenko Biostatistics and Epidemiology Section Dartmouth Medical School Dartmouth College ABSTRACT. Unless the minimized function is convex one gets in troubles in finding the global minimum. The fact is that all commonly used minimization algorithms like conjugate gradients or Newton-Raphson find a local minimum, at most. There are three approaches to the problem of global minimum: stochastic, deterministic and analytic. The first two try to find the global minimum. The last one provides criteria to check whether the found local minimum is, in fact, the global one. The talk is devoted to the analytic approach applied to the sum of squares in nonlinear regression model estimation. The technical tools applied are: matrix inequalities, Morse theory (topology), and curvature (differential geometry). ----------------------------------------------------------------- November 12, 1996: TBA ----------------------------------------------------------------- November 19, 1996: "Head-Banging, Heart-Pounding Symmetric Local Orthogonal Bases" Doug Warner Dept. of Mathematics Dartmouth College ----------------------------------------------------------------- November 26, 1996: "Really Mean Calculus - An Intro to Stochastic Diff. Eq.'s" Geoff Davis Dept. of Mathematics Dartmouth College