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Iterative synthesis of threshold functions

✍ Scribed by E Wong; E Eisenberg


Publisher
Elsevier Science
Year
1965
Tongue
English
Weight
412 KB
Volume
11
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


Periodic behaviour of generalized thresh
✍ E. Goles; J. Olivos πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 218 KB

## Communicated by C. Benzaken It is shown that, for a function A from (0, 1)" to (0, 1)" whose components form PI symmetric set of threshold functions the repeated application of A, leads either to a fixed point or to a cycle of length two.

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Let gn denote the iterates of a function y from the finite field FG into itself, defined induct~ively by go@) = x and g"(x) = g ( g n -l ( x ) ) , n>O. We study the existence of solutions to the functional equation g"=f, where f is a given linear, quadratic or CHEBYSIIEV function on .Fq, \*) Researc

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## Abstract Let {__S~i~__} be an iterated function system (IFS) on ℝ^__d__^ with attractor __K__. Let (Ξ£, Οƒ) denote the one‐sided full shift over the alphabet {1, …, 𝓁}. We define the projection entropy function __h__~Ο€~ on the space of invariant measures on Ξ£ associated with the coding map Ο€ : Ξ£ β†’

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## Abstract Iterative characterizations of computable unary functions are useful patterns for the definition of programming languages based on iterative constructs. The features of such a characterization depend on the pairing producing it: this paper offers an infinite class of pairings involving