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On the synthesis of some types of circuits based on translation partitions generated by universal matrices - MaRDI portal

On the synthesis of some types of circuits based on translation partitions generated by universal matrices (Q1281212)

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scientific article; zbMATH DE number 1266878
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English
On the synthesis of some types of circuits based on translation partitions generated by universal matrices
scientific article; zbMATH DE number 1266878

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    On the synthesis of some types of circuits based on translation partitions generated by universal matrices (English)
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    21 March 1999
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    The problem of synthesizing oriented generalized switching circuits and formulae of an algebra of logic in an arbitrary basis is considered. The method of special translation partitions of a unit cube based on universal matrices and developed in a previous article of the author [Vestn. Mosk. Univ., Ser. XV 1995, No. 2, 36-42 (1995; Zbl 0856.94036)], is generalized here and applied to the stated problem. As a result some new more precise lower and upper estimates for the Shannon functions are proved.
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    switching circuits
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    Shannon functions
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    complexity of realization
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    Boolean functions
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