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File:Mplwp roots 01.svg

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Original file (SVG file, nominally 420 × 400 pixels, file size: 42 KB)

Summary

Description
English: Plot of root functions of powers 1/8, 1/4, 1/2, 1, 2, 4 and 8 in the interval [0, 1].
Date
Source Own work
Author Geek3
SVG development
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The SVG code is valid.
 
This plot was created with mplwp, the Matplotlib extension for Wikipedia plots.
Source code
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mplwp source code

The plot was generated with mplwp 1.7
#!/usr/bin/python
# -*- coding: utf8 -*-

import matplotlib.pyplot as plt
import matplotlib as mpl
import numpy as np
from math import *

code_website = 'http://commons.wikimedia.org/wiki/User:Geek3/mplwp'
try:
    import mplwp
except ImportError, er:
    print 'ImportError:', er
    print 'You need to download mplwp.py from', code_website
    exit(1)

name = 'mplwp_roots_01.svg'
fig = mplwp.fig_standard(mpl)
fig.set_size_inches(420. / fig.dpi, 400. / fig.dpi)
l, r, t, b = (42.5, 22.5, 18.5, 26.5)
mplwp.set_bordersize(fig, l, r, t, b)

xlim = 0,1; fig.gca().set_xlim(xlim)
ylim = 0,1; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())

from scipy import optimize

for n in [1./8, 1./4, 1./2, 1., 2., 4., 8.]:
    f = lambda x: x**n
    x = np.linspace(0, xlim[1], 5001)
    y = [f(xx) for xx in x]
    plt.plot(x, y)
    xl = optimize.brentq(lambda x: x**n + x - 1.0, 0, 1)
    if n >= 1:
        power = str(int(n))
    else:
        power = '1/' + str(int(1./n))
    plt.text(xl, 1-xl, r'$x^{' + power + r'}$', ha='right')
    
plt.savefig(name)
mplwp.postprocess(name)

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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25 November 2017

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Date/TimeThumbnailDimensionsUserComment
current20:52, 25 November 2017Thumbnail for version as of 20:52, 25 November 2017420 × 400 (42 KB)Geek3User created page with UploadWizard

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