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Archive for August 7th, 2008

The NKS summer school archive site is live.  I figured it would be best for me to wait until that was done before I attempted to post my project or write too much about other’s projects.

You can check out a summary of what I did personally on the Wolfram site.

Project Title 
Perturbing Turing Machines

Project
Perturbations to elementary cellular automata have been investigated thoroughly. Under a certain level of perturbation, there are slight changes to local patterns but the automata tend to recover globally. The more complicated rules show greater disturbance but still can tolerate perturbations. This study considers similar perturbations to Turing machines.

Do Turing machines exhibit similar behavior?

“And the reason this is important is that in any real experiment, there are inevitably perturbations on the system one is looking at” (NKS p. 324). We must account for the effects of perturbations to draw any connections between these simple constructs and their natural counterparts.

Every project done there was interesting.  I encourage readers to check them all out.  Some projects are more abstract than others and all were a good launch pad for further research or immediate practical use.

I do have to call out Ben Rapoport’s project on neuronal computations.  It was beautiful in many ways.

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