Experimenting with the Dym-Luks Ball and Cell Game (almost) Sixty Years Later

By Shalosh B. Ekhad and Doron Zeilberger

.pdf    .tex   

Written: Jan. 12, 2023

Dedicated to Harry Dym (b. Jan. 26, 1938)

This is a symbolic-computational redux, and extension, of the beautiful paper, of Harry Dym and Eugene Luks, written when they were 26-year-old and 24-year-old respectively. Since then they went on to do many other great things, but this (Harry's third, and probably Gene's first) is still fresh after all these years, but with Maple, we can do so much more.

Added Jan. 27, 2023: Harry Dym's first two papers were:
(with E. Arthurs): On the optimum detection of digital signals in the presence of white Gaussian noise, IRE Trans. Comm. Systems 10 (1962), 336-372.
Distance properties of tree codes, MIT Res. Lab. for Electronics, QPR, 70(1963), 247-261.

Maple package

Sample Input and Output for DymLuks.txt

Personal Journal of Shalosh B. Ekhad and Doron Zeilberger

Doron Zeilberger's Home Page