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 Hooshmand's extension of tetration andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 01/20/2008, 07:50 AM (This post was last modified: 01/20/2008, 08:03 AM by andydude.) I feel like I have come to a resolution to this issue on my part. The way that I interpreted the definition given in Wikipedia's UXP article is that there are 2 errors, which I will cover here. The fourth condition requires that between (-1) and 0, UXP' is a: "nondecreasing or nonincreasing" function, but this should read "nondecreasing and nonincreasing", which means UXP' is a constant, which means UXP is a linear function. The closed form given in the article defines UXP as: $\text{uxp}_a(x) = \exp_a^{[x+1]}(\ (x)\ )$, but this should read $\text{uxp}_a(x) = (\exp_a)^{\text{int}(x+1)}(\text{frac}(x+1))$, because of how "frac" is implemented on some CASs, and because this is much more clear than how it is described. I hope the actual reference is better than this... Andrew Robbins « Next Oldest | Next Newest »

 Messages In This Thread Hooshmand's extension of tetration - by andydude - 01/19/2008, 09:32 AM RE: Hooshmand's extension of tetration - by GFR - 01/19/2008, 12:21 PM RE: Hooshmand's extension of tetration - by andydude - 01/19/2008, 01:05 PM RE: Hooshmand's extension of tetration - by bo198214 - 01/19/2008, 01:25 PM RE: Hooshmand's extension of tetration - by andydude - 01/20/2008, 07:50 AM RE: Hooshmand's extension of tetration - by Danesh - 07/29/2008, 08:38 AM RE: Hooshmand's extension of tetration - by bo198214 - 07/29/2008, 11:51 AM RE: Hooshmand's extension of tetration - by Danesh - 07/30/2008, 05:00 AM A new reference - by Danesh - 08/14/2008, 04:48 AM RE: Hooshmand's extension of tetration - by GFR - 01/20/2008, 11:46 AM

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