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

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DescriptionThe function x*sin(1 over x).svg	English: The function $f:\mathbb {R} \to \mathbb {R} :x\mapsto {\begin{cases}x\cdot \sin \left({\tfrac {1}{x}}\right)&x\neq 0\\0&x=0\end{cases}}$ .
Date	23 April 2016
Source	Own work
Author	Stephan Kulla (User:Stephan Kulla)
Other versions	Graph of function sin(1 over x) Discontinuity of function sin(1 over x) with sequence criterion Discontinuity of function sin(1 over x) with epsilon-delta criterion Graph of function xsin(1 over x) Graph of function x^2sin(1 over x)
SVG development InfoField	The SVG code is valid. This diagram was created with Matplotlib.
Source code InfoField	Python code 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(-3, 3, 10001) xs2=1/(np.arange(1.,1001,1.)np.pi/2) xs = np.union1d(np.union1d(xs1,xs2),-xs2) ys = np.sin(1/xs)xs f, ax = plt.subplots() ax.plot(xs,ys, color=blue) ax.set_xlim(-2.5,2.5) ax.set_ylim(-1.5,1.5) axins = zoomed_inset_axes(ax,4,loc=4) axins.plot(xs,ys) axins.set_xlim(-0.2,0.2) axins.set_ylim(-0.2,0.2) mark_inset(ax, axins, loc1=3, loc2=1, fc="0.95", ec="0.7") plt.xticks(visible=False) plt.yticks(visible=False) plt.savefig("The function x*sin(1 over x).svg")

Stephan Kulla (User:Stephan Kulla), 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. CC0falsefalse

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	Date/Time	Dimensions	User	Comment
current	18:35, 21 May 2018	575 × 431 (152 KB)	Stephan Kulla	update
	12:48, 23 April 2016	731 × 551 (114 KB)	Stephan Kulla	better zoom
	12:23, 23 April 2016	731 × 551 (113 KB)	Stephan Kulla	User created page with UploadWizard

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Height	345pt