File:Discontinuity of function sin(1 over x).svg
Summary
| Description |
English: Illustration of the discontinuity of the function . The graph is shown together with the points with (green) and the point (orange). |
| Date | |
| Source | Own work |
| Author | Stephan Kulla (User:Stephan Kulla) |
| Other versions |
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| SVG development | |
| Source code | Python codeimport matplotlib.pyplot as plt
import numpy as np
from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes, mark_inset
blue="#007ec1"
orange="#d77a5a"
green="#6e8334"
def f(x):
return np.sin(1/x)
xs1 = np.linspace(-3, 3, 10001)
xs2 = 1/(np.arange(1., 1001, 1.) * np.pi/2)
xs = np.union1d(np.union1d(xs1,xs2),-xs2)
xns = 1 / (2 * np.arange(0., 1000, 1) * np.pi + np.pi/2)
fig, ax = plt.subplots()
ax.plot(xs, f(xs), color=blue)
ax.plot(xns, f(xns), "o", color=green)
ax.plot([0],[0],"o", markerfacecolor="white", color="black")
ax.set_xlim(-1.2, 1.2)
ax.set_ylim(-1.1, 1.1)
axins = zoomed_inset_axes(ax, 20, loc=4)
axins.plot(xs, f(xs))
axins.plot(xns, f(xns), "o", color=green)
axins.set_xlim(-0.0, 0.05)
axins.set_ylim(0.98, 1.01)
mark_inset(ax, axins, loc1=1, loc2=3, fc="0.95", ec="0.7")
plt.xticks(visible=False)
plt.yticks(visible=False)
plt.savefig("Discontinuity of function sin(1 over x).svg")
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Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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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.
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