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: ...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

I get crashes for almost all bases

[code]

(23:15) gp > init(0.5)

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

- Sheldon