• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 sexp(strip) is winding around the fixed points bo198214 Administrator Posts: 1,391 Threads: 90 Joined: Aug 2007 06/29/2009, 10:05 AM (This post was last modified: 06/29/2009, 10:06 AM by bo198214.) (06/29/2009, 08:35 AM)Kouznetsov Wrote: Now t parametrizes the set (curve), and p is parameter we play in order to modify the "speed" of winding. Only at p=0, there is no winding, although at small p, it is difficult to count many turns, we need strong zooming in. Oh now I see what you mean. In this case the critical point is $p=0$ where it changes from finite winding into infinite winding. You are right there is no "paradox", however there is the critical point where it changes from finite to infinite winding. But perhaps in the moment its just too speculative to muse about critical points in deformations of T into S. « Next Oldest | Next Newest »

 Messages In This Thread sexp(strip) is winding around the fixed points - by Kouznetsov - 12/27/2008, 05:41 AM RE: sexp(strip) is winding around the fixed points - by bo198214 - 12/27/2008, 10:32 AM RE: sexp(strip) is winding around the fixed points - by Kouznetsov - 12/28/2008, 04:31 AM RE: sexp(strip) is winding around the fixed points - by bo198214 - 12/28/2008, 11:14 AM RE: sexp(strip) is winding around the fixed points - by bo198214 - 06/27/2009, 09:55 AM RE: sexp(strip) is winding around the fixed points - by Kouznetsov - 06/27/2009, 11:50 PM RE: sexp(strip) is winding around the fixed points - by bo198214 - 06/28/2009, 02:31 PM RE: sexp(strip) is winding around the fixed points - by Kouznetsov - 06/29/2009, 08:35 AM RE: sexp(strip) is winding around the fixed points - by bo198214 - 06/29/2009, 10:05 AM

 Possibly Related Threads... Thread Author Replies Views Last Post Kneser-iteration on n-periodic-points (base say \sqrt(2)) Gottfried 11 2,157 05/05/2021, 04:53 AM Last Post: Gottfried On n-periodic points of the exp() - A discussion with pictures and methods Gottfried 1 2,228 06/10/2020, 09:34 AM Last Post: Gottfried fast accurate Kneser sexp algorithm sheldonison 38 107,415 01/14/2016, 05:05 AM Last Post: sheldonison fixed point formula sheldonison 6 17,231 05/23/2015, 04:32 AM Last Post: mike3 Find all fixed points of exp[b] MorgothV8 10 25,008 10/07/2014, 11:00 AM Last Post: Gottfried regular sexp: curve near h=-2 (h=-2 + eps*I) Gottfried 2 8,531 03/10/2010, 07:52 AM Last Post: Gottfried regular sexp:different fixpoints Gottfried 6 17,115 08/11/2009, 06:47 PM Last Post: jaydfox sexp and slog at a microcalculator Kouznetsov 0 4,530 01/08/2009, 08:51 AM Last Post: Kouznetsov An error estimate for fixed point computation of b^x bo198214 0 3,802 05/31/2008, 04:11 PM Last Post: bo198214

Users browsing this thread: 1 Guest(s)