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==Compare with ==
Number ( real, positive and smaller then one ) after repetive squaring
Maxima CAS code
/*
batch file for Maxima CAS
see also :
http://fraktal.republika.pl/julia_equi.html
https://commons.wikimedia.org/wiki/File:NUmber_smaller_then_one_after_repetive_squaring.svg
*/
kill(all);
remvalue(all);
GiveList(r0):=
/* computes forward orbit of point r0
and saves it to the list for draw package */
block(
[r,rtemp,l,i, distance],
r:r0, /* first point */
rtemp:r*r,
distance :r-rtemp,
r:rtemp,
l:[[0,distance]],
for i:1 thru 65 step 1 do
( rtemp:r*r,
distance : r-rtemp,
l:endcons([i,distance], l),
r : rtemp),
return(l)
)$
compile(all);
/* ----------------- computations -------------------------------*/
l:GiveList(9.9999999999999956e-01);
/* ---------------- draw ------------------------------- */
path:"~/maxima/batch/julia/hyperbolic/distance/"$ /* if empty then file is in a home dir */
/* draw it using draw package by */
load(draw);
/* if graphic file is empty (= 0 bytes) then run draw2d command again */
draw2d(
terminal = 'svg,
file_name = sconcat(path,"pzoom2"),
user_preamble="set size square;set key top right",
title= "distance between r(n) and r(n+1) after iterations r(0) < 1.0 using function f(r)=r*r",
dimensions = [1000, 1000],
yrange = [-0.001,0.001],
/*xrange = [ZxMin,ZyMax],*/
xlabel = "iteration ",
ylabel = "radius",
xaxis = true,
point_type = filled_circle,
points_joined =true,
point_size = 0.5,
color = red,
key = "radius",
points(l)
);
Licensing
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