Small Solver Program

[Thomas Klemm]

(02-14-2019 05:25 AM)Gamo Wrote:  Example: X^X = 1000

You can rewrite this equation such that \(x\) is a fixed point of \(f(x)\), that is \(x=f(x)\):

\(x=\frac{3}{LOG(x)}\)

Then you can iterate the following program with a starting value, say \(x=4\):

Code:

001-  43  13 :    LOG
002-       3 :    3
003-      34 :    x<>Y
004-      10 :    ÷

Example:

4
R/S
4.982892143
R/S
4.301189432
R/S
4.734933901
R/S
4.442378438
R/S
4.632377942
R/S
4.505830646
R/S
4.588735607
R/S
4.533824357
R/S
4.569933524
R/S
4.546075273
R/S
4.561789745
R/S
4.551417837
R/S
4.558254212
R/S
4.553744141
R/S
4.556717747
R/S
4.554756405
R/S
4.556049741
R/S
4.555196752
R/S
4.555759258
R/S
4.555388285
R/S
4.555632930
R/S
4.555471588
R/S
4.555577990
R/S
4.555507820
R/S
4.555554095
R/S
4.555523578
R/S
4.555543703
R/S
4.555530431
R/S
4.555539183
R/S
4.555533412
R/S
4.555537217
R/S
4.555534708
…
4.555535704
R/S
4.555535706
R/S
4.555535704
R/S
4.555535706
…

From then on the result flips between these last two values.

Cheers
Thomas