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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 7, Pages 41–49 (Mi ivm9257)  
About complexity of implementing threshold functions

O. N. Muzychenko

Baltic State Technical University “Voenmekh” named after D.F. Ustinov, 1 Pervaya Krasnoarmeiskaya str., St.-Petersburg, 190005 Russia
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Abstract: We study properties and ways of classification of threshold functions as well as known estimates of complexity of implementing in the functional elements type of circuits. We determine a dependence of the maximum values of variables weights on their number. Using the intermediate conversion method we obtain a precise upper bound of complexity of implementing arbitrary threshold functions in the functional elements type of circuits.
Keywords: threshold functions, functional elements, complexity.
Received: 15.02.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 7, Pages 35–42
DOI: https://doi.org/10.3103/S1066369X17070052
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: O. N. Muzychenko, “About complexity of implementing threshold functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 7, 41–49; Russian Math. (Iz. VUZ), 61:7 (2017), 35–42
Citation in format AMSBIB
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