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Comparing the Known Tetration Solutions
#18
andydude Wrote:As you can see, when the base is between , although the matrix equation has a solution, the solutions (coefficients) do not seem to converge. This is what leads me to beleive that my super-logarithm definition will only work for .

For me they look pretty convergent, they are divergent at 1. But for they always become "dense in line" which represents the limit. The only thing is that the more b approaches 1 the longer it takes until it stabilizes, so for some small b it hasnt stabilized for n<10 but the tendency to built a dense line is recognizable, I think.
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Messages In This Thread
RE: Comparing the Known Tetration Solutions - by bo198214 - 08/23/2007, 12:14 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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