Parity Logic Engines and Excitable Media
This chapter introduces a further field of applied parity logic, namely parity integration as the main mechanism in modeling excitable media and trigonal transformations. The methodological approach is based on sections 2.3 and 2.4 of chapter 2, and on section 3.4 of chapter 3 (Shegalkin and Langlet Transforms), but instead of elaborating on tedious formalisms, we will argue in terms of feedback machines for iteration processes where the input consists of binary sequences representing state-vectors and where the output represents vector-valued parity integrals which in turn are used for the next iteration. The dimension or length of the input-sequence determines the number of iterations, whereby the cyclic process evolves a temporal record of the state-vector and simultaneously a considerable number of specific properties for analyzing periodic and localized waves of propagated information. In that way the reader will become familiar with parity integration, what it means, and for what it may qualify in signal processing and other disciplines from a computational point of view.
KeywordsMatrix Operator Binary Sequence Excitable Medium Parity Logic Resistive Network
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