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 How it looks (i.θ)ₐ sheldonison Long Time Fellow Posts: 641 Threads: 22 Joined: Oct 2008 04/21/2015, 08:23 AM (This post was last modified: 04/21/2015, 08:26 AM by sheldonison.) (04/21/2015, 03:20 AM)marraco Wrote: ... I get crashes for almost all bases [code] (23:15) gp > init(0.5)The kneser.gp program will only generate useful results for you for real bases>exp(1/e). It will take a couple of weeks of work and experimenting to figure out how to rewrite the algorithms to work for bases between 0 and 1, which is actually a different function (in many ways) than tetration for real bases>eta. I haven't done that yet; and things are very busy now Try "init(exp(1));" or init(1.5); /* runs a little slower for bases closer to exp(1/e) */ or init(2); or init(3); or init(4); As I remember, the program will generate results for bases between 1 and eta as well, but what it does for bases between 1 and eta is not what you might expect it to be; so I would recommend avoiding those bases as well. Kneser.gp accurately generates Kneser's merged tetration solution from both complex repelling fixed points for most real bases>eta, for much of the complex plane, unless the iterated function overflows. pari-gp's internal representation has limitations, and sexp(10) is a humongous number. The largest number pari-gp can represent is about $\text{sexp}_e\left(4.08\right)\approx 7.24676\cdot 10^{131475196{$ - Sheldon « Next Oldest | Next Newest »

 Messages In This Thread How it looks (i.θ)ₐ - by marraco - 04/18/2015, 11:20 PM RE: How it looks (i.θ)ₐ - by sheldonison - 04/19/2015, 02:40 PM RE: How it looks (i.θ)ₐ - by marraco - 04/19/2015, 08:40 PM RE: How it looks (i.θ)ₐ - by sheldonison - 04/19/2015, 11:19 PM RE: How it looks (i.θ)ₐ - by marraco - 04/20/2015, 02:35 AM RE: How it looks (i.θ)ₐ - by Gottfried - 04/20/2015, 07:53 AM RE: How it looks (i.θ)ₐ - by marraco - 04/21/2015, 02:34 AM RE: How it looks (i.θ)ₐ - by marraco - 04/21/2015, 03:20 AM RE: How it looks (i.θ)ₐ - by sheldonison - 04/21/2015, 08:23 AM RE: How it looks (i.θ)ₐ - by marraco - 04/23/2015, 04:52 PM RE: How it looks (i.θ)ₐ - by JmsNxn - 04/23/2015, 11:15 PM RE: How it looks (i.θ)ₐ - by sheldonison - 04/23/2015, 11:20 PM RE: How it looks (i.θ)ₐ - by marraco - 04/26/2015, 12:50 AM RE: How it looks (i.θ)ₐ - by sheldonison - 04/26/2015, 05:08 AM RE: How it looks (i.θ)ₐ - by marraco - 04/20/2015, 03:46 AM RE: How it looks (i.θ)ₐ - by marraco - 04/23/2015, 02:21 AM RE: How it looks (i.θ)ₐ - by marraco - 04/25/2015, 07:52 PM

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