User talk:Logicnazi

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Hi, I though you might be interested in the discussion at Wikipedia talk:WikiProject Mathematics#Computability, recursion theory. Cheers, —R. Koot 00:01, 1 December 2005 (UTC)

[edit] Wikireason

Hi, I saw a comment you wrote on the Mediawiki mailing list, and it seemed like you may have started a project similar to my own: Wikireason. It's a wiki dedicated to analyzing arguments in a logical manner. Hope to see you around. AdamRetchless 22:37, 28 June 2006 (UTC)

[edit] Attractor

A few points:

  • The set B(A) is too large, as it requires that all neighborhoods go to the attractor, when what is normally defined is that nearby points go to the attractor.
  • A system in one dimension can have a space-dependent velocity field, so the example f(t, (x,v)) = x + t v doesn't quite work.
  • The invariance follows from the two conditions, (1) f(t, Λ) ⊃ Λ for large t together with (2) the existence of a fundamental neighborhood that ends up in any open containing the attractor. The invariance condition is redundant.

The definition I had written (equivalent to the one you have given) for an attractor was the definition given by Ruelle for an attracting set (not attractor). An attractor in Ruelle's definition needs to have some stability against small perturbations, which the current definition does not address. – XaosBits 20:48, 21 September 2006 (UTC)

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