Created
February 10, 2014 03:57
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Big Theta
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#!/usr/bin/env python2 | |
# GistID: 8910125 | |
from numpy import array, log, linspace | |
from matplotlib import pyplot as plt | |
# http://en.wikipedia.org/wiki/Big_o_notation#Family_of_Bachmann.E2.80.93Landau_notations # noqa | |
n = linspace(1, 100) | |
fn = log(n) / log(5) # log_5(n) | |
gn = log(n) / log(3) # log_3(n) | |
k1 = log(3) / log(5) * 0.9 # clearly less than fn | |
k2 = log(3) / log(5) * 1.1 # clearly less than fn | |
data = array([gn * k2, fn, gn * k1]) | |
column = ('gn * k2', 'fn', 'gn * k1') | |
plt.plot(n, data[0], label=column[0]) | |
plt.plot(n, data[1], label=column[1]) | |
plt.plot(n, data[2], label=column[2]) | |
plt.title("$f(n) = \Theta(g(n))$") | |
plt.xlabel("n") | |
plt.legend(loc='best') | |
plt.show() | |
# http://i.imgur.com/19rQ1eZ.png |
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