Implementation of Analytical Devices and the Interactive Social Fabric Matrix Website
Analytical tools and techniques for the social fabric matrix (SFM) are introduced. A website is detailed which will allow collaborative work with researchers around the world. Associated with this is a tool to standardize the creation and editing of SFM displays. A tool to analyze and produce summary statistics for the special case of a symmetric common-denominator SFM is presented and detailed. Mathematical results from graph and matrix theory are employed. A prior result is presented and paired with a tool to enable automatic calculation of feedback potential within a system, and necessary caveats and limitations are laid out. A set of assumptions is laid out that allows the stability of a system to be determined using intermediate matrix theory, and the most restrictive assumption is relaxed.
KeywordsAdjacency Matrix Initial Disturbance Flow Level Sensitivity Matrix Reachability Matrix
The author would like to thank Dr. F. Gregory Hayden for his guidance on integrating mathematics and the SFM, and Roger A. Simonsen and Derek J. Augustine for building and maintaining the SFM website.
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