Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
2001-03-30
Nonlinear Sciences
Cellular Automata and Lattice Gases
Revtex, uses amsfonts, 10 pages
Scientific paper
10.1142/S0129183102003929
Given a continuous function $f(x)$, suppose that the sign of $f$ only has finitely many discontinuous points in the interval $[0,1]$. We show how to use a sequence of one dimensional deterministic binary cellular automata to determine the sign of $f(\rho)$ where $\rho$ is the (number) density of 1s in an arbitrarily given bit string of finite length provided that $f$ satisfies certain technical conditions.
Chau H. F.
Lee Kai-Ming
Siu L.-W.
Xu Haibin
Yan Kesong
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