Continuous Groups From Turing


early Turing computer science models were founded in crypto rotor machines. That is, each rotor  moved independently, each according to its own state machine (defined as a Cayley graph).

Viewing each graph as a coroutine (expressed in code as switch and goto between cases, of the same or other switches), one gets to a continuous space (of graph points).

  1. If things were subroutines, he would have said: discrete space (or “finite” dimension”)
  2. Interesting to see comp sci in the rarefied language of pure intellectualusm  (circa 1930).

 

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