NKS Applications with Evolving Rules

Gautam Dasgupta
Columbia University

Céline Lannier
Columbia University

In engineering mechanics, computational tools are developed according to the underlying partial differential equations.  However, problems such as turbulence necessitate the NKS approach. Similar observations are made for situations where qualitative parameters drive the numerics.

This research team is exploring formulations using the appropriate NKS tools to systematize calculations related to architectural designs, bio-morphometry, security engineering with the LiveDesign paradigm, and socio-economic issues related to sustainable tourism development. For example, in a linear design environment the rules do not evolve hence Mathematica objects related to Nest are relevant. In social science the rules evolve and problems require analysis using Fold. Highly nonlinear evolutionary processes in biology can be similarly captured using FoldList to display the distinct steps of the phenomena that appear when examining Plio-Pleistocene fossils.

Additionally, a progress report on security engineering and anthropological studies with endocasts of skulls will be presented.

Created by Mathematica  (April 20, 2004)