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 just another uniqueness musing bo198214 Administrator Posts: 1,395 Threads: 91 Joined: Aug 2007 02/12/2009, 12:10 AM Gottfried Wrote:The only idea that remains is, to consider the length of the guessed curve of f°0.5(x) in an interval of f°0.5(x) .. f°2.5(x). (but also... I've never dealt with line-integrals). This length should be minimal if the amplitude of the overlaid mod(1)-function is minimal. But this is just crude guess - should be checked on paper first... Sounds not bad, but here again the length is infinite, and if you chose f(a) for the shortest length in one interval [a,F(a)] - i.e. a straight line - then in the interval [F(a),F(F(a))] the length is longer then for a better choose in the first interval. So over which and how many intervals do you want to measure the length without being arbitrary? « Next Oldest | Next Newest »

 Messages In This Thread just another uniqueness musing - by Gottfried - 02/11/2009, 12:23 PM RE: just another uniqueness musing - by bo198214 - 02/11/2009, 03:14 PM RE: just another uniqueness musing - by tommy1729 - 02/11/2009, 03:42 PM RE: just another uniqueness musing - by tommy1729 - 02/11/2009, 03:50 PM RE: just another uniqueness musing - by Gottfried - 02/11/2009, 03:48 PM RE: just another uniqueness musing - by bo198214 - 02/12/2009, 12:10 AM

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