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Full-Text Articles in Physical Sciences and Mathematics
Ideas And Graphs: The Tetrad Of Activity, Martin Zwick
Ideas And Graphs: The Tetrad Of Activity, Martin Zwick
Systems Science Faculty Publications and Presentations
A graph can specify the skeletal structure of an idea, onto which meaning can be added by interpreting the structure. This paper considers several directed and undirected graphs consisting of four nodes, and suggests different meanings that can be associated with these different structures. Drawing on John G. Bennett’s “systematics,” specifically on the Tetrad that systematics offers as a model of “activity,” the analysis formalizes and augments the systematics account and shows that the Tetrad is a versatile model of problem-solving, regulation and control, and other processes. Discussion is extended to include hypergraphs, in which links can relate more than …
Control Uniqueness In Reconstructability Analysis, Martin Zwick
Control Uniqueness In Reconstructability Analysis, Martin Zwick
Systems Science Faculty Publications and Presentations
When the reconstructability analysis of a directed system yields a structure in which a generated variable appears in more than one subsystem, information from all of the subsystems can be used in modeling the relationship between generating and generated variables. The conceptualization and procedure proposed here is discussed in relation to Klir's concept of control uniqueness.
Set-Theoretic Reconstructability Of Elementary Cellular Automata, Martin Zwick, Hui Shu
Set-Theoretic Reconstructability Of Elementary Cellular Automata, Martin Zwick, Hui Shu
Systems Science Faculty Publications and Presentations
Set-theoretic reconstructability analysis is used to characterize the structures of the mappings of elementary cellular automata. The minimum complexity structure for each ECA mapping, indexed by parameter σ, is more effective than the λ parameter of Langton as a predictor of chaotic dynamics.