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 regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 tommy1729 Ultimate Fellow Posts: 1,491 Threads: 355 Joined: Feb 2009 06/22/2013, 08:43 PM (This post was last modified: 06/22/2013, 08:44 PM by tommy1729.) Dear Gottfried It may be my fault since Im not so familiar with the terms you use but I fail to completely understand your question or even method. For instance I do not know what you mean by "linearization" here. For me it is a term used for differential equations or the truncated Taylor series a_0 + a_1 x for an analytic function. Are you using Koenigs function to solve the Schroeder equation ? Or is this one of those matrix methods ? How is the connection to uniqueness , existance , multiple solutions and fixpoints ? Also I do not know what all this imaginary stuff is. Imaginary component ? Imaginary height ? Imaginary oversteps the infinite iteration height ? What is meant with " dual of x = -oo " ? It may be my fault , but I think you need to be more explicit if you want to speak to a large audience and be understood. And even if it has been explained before you should have added at least a link imho. Maybe it helps even yourself if you write it out completely. Im - perhaps surprising - convinced that this question has an answer. Most things have an answer in math. Regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by Gottfried - 06/22/2013, 12:52 PM RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by tommy1729 - 06/22/2013, 08:43 PM RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by Gottfried - 06/22/2013, 09:55 PM RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by sheldonison - 06/23/2013, 11:13 AM RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by Gottfried - 06/23/2013, 10:20 PM RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by sheldonison - 06/24/2013, 04:09 PM RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by Gottfried - 06/25/2013, 10:45 AM RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by sheldonison - 06/25/2013, 01:37 PM

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