Maximizing the Number of Threshold Logic Functions Using Resistive Memory

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Note on the Number of Two-Dimensional Threshold Functions

A two-dimensional threshold function of k-valued logic can be viewed as coloring of the points of a k × k square lattice into two colors such that there exists a straight line separating points of different colors. For the number of such functions only asymptotic bounds are known. We give an exact formula for the number of two-dimensional threshold functions and derive more accurate asymptotics.

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ژورنال

عنوان ژورنال: IEEE Transactions on Nanotechnology

سال: 2018

ISSN: 1536-125X,1941-0085

DOI: 10.1109/tnano.2018.2822285