#!/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)