Title :
A Theory of Completely Monotonic Functions and its Applications to Threshold Logic
Author :
Yajima, Shuzo ; Ibaraki, Toshihide
Author_Institution :
IEEE
fDate :
3/1/1968 12:00:00 AM
Abstract :
Abstract—As an approach to clarifying the basic properties of threshold logic, the completely monotonic function is investigated. Its testing procedure, functional form, etc., are discussed by using a new concept, mutual monotonicity.
Keywords :
Index terms—Completely monotonic function, functional form, isobaricity, mutual monotonicity, threshold logic, 2-asummable function.; Application software; Boolean algebra; Computer science; Isobaric; Logic functions; Network synthesis; Performance evaluation; Sufficient conditions; Testing; Index terms—Completely monotonic function, functional form, isobaricity, mutual monotonicity, threshold logic, 2-asummable function.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1968.229094