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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1972, Volume 12, Issue 1, Pages 3–12 (Mi mz9840)

Certain properties of nondegenerate superpositions in $P_k$

E. Yu. Zakharova, S. V. Yablonskii

Institute of Applied Mathematics, Academy of Sciences of the USSR

Abstract: We investigate the possibility of obtaining a function which depends essentially on an arbitrary number of arguments from the functions of some finite system in $P_k$. We introduce a characteristic of the initial finite system, by means of which we express the complexity of obtaining the simplest function of the given number of variables. The estimate obtained below, for the Shannon function for the realization of functions in $P_k$ by formulas, is higher than the one known earlier.

Full text: PDF file (1097 kB)

English version:
Mathematical Notes, 1972, 12:1, 435–440

Bibliographic databases:

UDC: 519.95

Citation: E. Yu. Zakharova, S. V. Yablonskii, “Certain properties of nondegenerate superpositions in $P_k$”, Mat. Zametki, 12:1 (1972), 3–12; Math. Notes, 12:1 (1972), 435–440

Citation in format AMSBIB
\Bibitem{ZakYab72} \by E.~Yu.~Zakharova, S.~V.~Yablonskii \paper Certain properties of nondegenerate superpositions in $P_k$ \jour Mat. Zametki \yr 1972 \vol 12 \issue 1 \pages 3--12 \mathnet{http://mi.mathnet.ru/mz9840} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=335191} \zmath{https://zbmath.org/?q=an:0242.02017} \transl \jour Math. Notes \yr 1972 \vol 12 \issue 1 \pages 435--440 \crossref{https://doi.org/10.1007/BF01094386}