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Comparing the Known Tetration Solutions
#20
For comparison, here's a graph of the very generic solution of T(x) = x+1 for the critical interval (-1, 0]:

   

And the detailed view, S(T(x))-x:

   

As you can see, even this generic, low-tech solution is accurate to within plus or minus 1%. In fact, the error in my solution is only about 10 times smaller. So perhaps not so good after all.

And in this case, the cyclic curve is clearly not a sine curve.
~ Jay Daniel Fox
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Messages In This Thread
RE: Comparing the Known Tetration Solutions - by jaydfox - 08/29/2007, 01:56 AM
RE: computing the iterated exp(x)-1 - by andydude - 08/17/2007, 11:20 PM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/17/2007, 11:38 PM
RE: computing the iterated exp(x)-1 - by bo198214 - 08/17/2007, 11:45 PM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/18/2007, 12:19 AM
RE: computing the iterated exp(x)-1 - by bo198214 - 08/18/2007, 08:19 AM
RE: computing the iterated exp(x)-1 - by andydude - 08/18/2007, 09:35 AM
RE: computing the iterated exp(x)-1 - by bo198214 - 08/18/2007, 11:59 AM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/18/2007, 03:49 PM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/19/2007, 12:50 AM

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