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Finding The Sign Of A Function Value By Binary Cellular Automaton

H. F. Chau·H. Xu·K. M. Lee·L. W. Siu·K. K. Yan
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Abstract

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 $f(ρ)$ where $ρ$ is the (number) density of 1s in an arbitrarily given bit string of finite length provided that $f$ satisfies certain technical conditions.

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H. F. Chau, H. Xu, K. M. Lee, L. W. Siu, K. K. Yan. 2001-03-30. Finding The Sign Of A Function Value By Binary Cellular Automaton. https://doi.org/10.1142/s0129183102003929

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