Additive Cellular Automata and Algebraic Series

Download or Read eBook Additive Cellular Automata and Algebraic Series PDF written by Bruce Edward Litow and published by . This book was released on 1992 with total page 11 pages. Available in PDF, EPUB and Kindle.
Additive Cellular Automata and Algebraic Series
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Total Pages : 11
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ISBN-10 : OCLC:475799100
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Book Synopsis Additive Cellular Automata and Algebraic Series by : Bruce Edward Litow

Book excerpt: Abstract: "A cellular automaton is an array of regularly interconnected identical cells. We study here the special case of automata where each cell depends in additive manner on its neighbours. The successives [sic] states of a given cell form a sequence whose generating series is proved to be always an algebraic series. We also examplify [sic] the realization of a given algebraic series by means of an automaton. As a byproduct we obtain a relation between additive cellular automata and certain 'automatic sequences' like the paper folding sequence."


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