# File:The function x^2*sin(1 over x).svg

Original file(SVG file, nominally 575 × 431 pixels, file size: 26 KB)

## Summary

Description
English: Graph of the function $f:\mathbb {R} \to \mathbb {R} :x\mapsto {\begin{cases}x^{2}\sin \left({\frac {1}{x}}\right)&x\neq 0\\0&x=0\end{cases}}$ .
Deutsch: Graph der Funktion $f:\mathbb {R} \to \mathbb {R} :x\mapsto {\begin{cases}x^{2}\sin \left({\frac {1}{x}}\right)&x\neq 0\\0&x=0\end{cases}}$ .
Date 10 October 2016
Source Own work
Author Stephan Kulla (User:Stephan Kulla)
Other versions
SVG development

## Python

import matplotlib.pyplot as plt
import numpy as np

from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes, mark_inset

blue="#007ec1"
xs1 = np.linspace(-1.1, 1.1, 10002)
xs2=1/(np.arange(1.,1001,1.)*np.pi/2)

xs = np.union1d(np.union1d(xs1,xs2),-xs2)
ys = np.sin(1/xs)*xs*xs

f, ax = plt.subplots()

ax.plot(xs,ys, color=blue)
ax.set_xlim(-1,1)
ax.set_ylim(-1.1,1.1)

axins = zoomed_inset_axes(ax,4,loc=4)
axins.plot(xs,ys)
axins.set_xlim(-0.2,0.2)
axins.set_ylim(-0.05,0.05)

mark_inset(ax, axins, loc1=2, loc2=1, fc="0.95", ec="0.7")

plt.xticks(visible=False)
plt.yticks(visible=False)

plt.savefig("The function x^2*sin(1 over x).svg")


## Licensing

, 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.

### Captions

Add a one-line explanation of what this file represents