Paul Stein

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Paul R. Stein, an American physicist and mathematician, and staff member at Los Alamos National Laboratory since 1950, working on problems that range from mathematical biology to nonlinear transformations and experimental number theory. In the late 1950s, along with Mary Menzel and Stanislaw Ulam, Paul Stein performed one of the earliest digital simulations of discrete dynamics in two-dimensions. In their work they created a robot mathematician to scan the results of simulations for chaotic attractors.

=MANIAC I= Paul Stein was member of a group of H-bomb researchers around Stanislaw Ulam, Mark Wells and John Pasta et al., who wrote the chess-playing program for the MANIAC I in 1956. It played Los Alamos Chess on a 6×6 board without bishops.

=Photos= Los Alamos scientists Paul Stein (left) and Nick Metropolis playing chess with the MANIAC computer

=Selected Publications=
 * Paul Stein, Stanislaw Ulam (1957). Experiments in chess on electronic computing machines. Chess Review, 13 January 1957.
 * James Kister, Paul Stein, Stanislaw Ulam, William Walden, Mark Wells (1957). Experiments in Chess. Journal of the ACM, Vol. 4, No. 2
 * Mary Tsingou-Menzel, Paul Stein, Stanislaw Ulam (1959). Quadratic Transformations: Part I. Los Alamos Scientific Laboratory report LA-2305, republished in Stanislaw Ulam (1990). Analogies Between Analogies: The Mathematical Reports of S.M. Ulam and his Los Alamos Collaborators. Berkeley: University of California Press
 * John Riordan, Paul Stein (1972). Arrangements on Chessboards. Journal of Combinatorial Theory Series A, Vol. 12, No. 1
 * Nicholas Metropolis, Myron L. Stein, Paul Stein (1973). On finite limit sets for transformations on the unit interval. Journal of Combinatorial Theory Series A, Vol. 15, No. 1
 * Paul Stein (1982). Bernd Matthias - A Personal Memoir. Los Alamos Science, No. 4 » Bernd Matthias
 * William A. Beyer, Paul Stein (1983). Brief History of Functional Iteration at Los Alamos. Los Alamos National Laboratory
 * Paul Stein (1986). Experiments in Chess on Electronic Computing Machines: Some Early Efforts. in Stanislaw Ulam (1986). Science, Computers, and People - From the Tree of Mathematics. Birkhäuser
 * Paul Stein (1987). Iteration of Maps, Strange Attractors, and Number Theory - An Ulamian Potpourri. in Stanislaw Ulam 1909-1984. Los Alamos Science, No. 15, pdf

=References=

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