Strict Monotonicity and Convergence Rate of Titterington's Algorithm for Computing D-optimal Designs

We study a class of multiplicative algorithms introduced by Silvey et al. (1978) for computing D-optimal designs. Strict monotonicity is established for a variant considered by Titterington (1978). A formula for the rate of convergence is also derived. This is used to explain why modifications considered by Titterington (1978) and Dette et al. (2008) usually converge faster

A class of piecewise cubic interpolatory polynomials

A new class of C1 piecewise—cubic interpolatory polynomials is defined, by generalizing the definition of cubic X-splines given recently by Clenshaw and Negus (1978). It is shown that this new class contains a number of interpolatory functions which present practical advantages, when compared with the conventional cubic spline

Chaos and stability in a two-parameter family of convex billiard tables

We study, by numerical simulations and semi-rigorous arguments, a two-parameter family of convex, two-dimensional billiard tables, generalizing the one-parameter class of oval billiards of Benettin--Strelcyn [Phys. Rev. A 17, 773 (1978)]. We observe interesting dynamical phenomena when the billiard tables are continuously deformed from the integrable circular billiard to different versions of completely-chaotic stadia. In particular, we conjecture that a new class of ergodic billiard tables is obtained in certain regions of the two-dimensional parameter space, when the billiards are close to skewed stadia. We provide heuristic arguments supporting this conjecture, and give numerical confirmation using the powerful method of Lyapunov-weighted dynamics.Comment: 19 pages, 13 figures. Submitted for publication. Supplementary video available at http://sistemas.fciencias.unam.mx/~dsanders

Pangs of Science

Commencement address given by Philip Handler, President of the National Academy of Sciences, to the Winter 1978 graduating class of The Ohio State University, St. John Arena, Columbus, Ohio, March 16, 1978

The Bulletin, School of Nursing Alumni Association, 1978

Alumni Calendar Recognition Plaque A Letter from the President Officers and Chairpersons Jefferson - Past, Present and Future Annual Reports School of Practical Nursing Sesqui Pledge Completed Alumnae Data 1891-1978 Committee Reports A.N.A. Convention Report The Liberation of a POW Resume of Alumni Meetings Cocktails and Conversation Class News Luncheon Gusts - Class of 1978 Marriages Births In Memoriam Alumni Notices School of Nursing Notice