File:CarmichaelLambda.svg
Summary
| Description |
Français : Graphe des 1000 premières valeurs de la fonction de Carmichael; en transparence les valeurs de la fonction phi d'Euler
English: PLot of the 1000 first values of the Carmichael's reduced totient function; in transparency values of Euler's phi function |
| Date | |
| Source | Own work |
| Author | Proz |
| Other versions |
|
| SVG development |
Source code
Created with python 2.7.13, matplotlib 2.0.0, sympy 1.1:
from sympy import *
import matplotlib.pyplot as plt
nmin, nmax = 1, 1000
l = range(nmin,nmax)
plt.plot(l, [totient(n) for n in l], 'g.', alpha=0.2, markersize=4)
plt.plot(l, [reduced_totient(n) for n in l], 'b.', alpha=1, markersize=2)
plt.axis([nmin,nmax,nmin,nmax])
plt.xlabel('$n$', fontsize='x-large')
ax = plt.gca()
ax.xaxis.set_label_coords(1.03,0.03)
xticks = ax.xaxis.get_major_ticks()
xticks[0].label1.set_visible(False)
yticks = ax.yaxis.get_major_ticks()
yticks[0].label1.set_visible(False)
plt.figtext(0.2,0.8,'$\lambda(n)$', fontsize='x-large', color='b', alpha=1)
plt.figtext(0.2,0.74,'$\\varphi(n)$', fontsize='x-large', color='g', alpha=0.6)
plt.savefig('carmichaelLambda.svg')
Licensing
Proz, the copyright holder of this work, hereby publishes it under the following license:
  |
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
