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Abstract?A switching function A is viewed as a subset of vertices of the unit n-cube. The power parameter of A is the number of vertices comprising A and the characterizing vector is the vector sum of the vertices of A. It is shown that the characterizing vector (without the power parameter) uniquely determines a threshold function within parity.
Index terms?Characterizing vector, class representatives, power parameter, threshold function, uniqueness (within parity).
E. Levine, "On the Characterizing Parameters of a Threshold Function", IEEE Transactions on Computers, vol. 17, no. , pp. 696-697, July 1968, doi:10.1109/TC.1968.227423
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