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File:Limit Infinity SVG.svg

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Original file (SVG file, nominally 600 × 620 pixels, file size: 38 KB)

Summary

Description
English: SVG version to illustrate the limit of function at infinity point. Python source code available.
Date
Source Own work
Author IkamusumeFan
SVG development
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The SVG code is valid.
 
This plot was created with Matplotlib.
Source code
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Python code

import matplotlib.pyplot as plt
import numpy as np

# Create a figure of size 8x8 points, 80 dots per inch
plt.figure(figsize=(8,8), dpi=80)

# Draw the limit lines
x = np.linspace(0.001,50.0,1024, endpoint=True)
y = 4.1+0*x
plt.plot(x,y,color="grey", linewidth=1.0, linestyle="--")
y = 3.9+0*x
plt.plot(x,y,color="grey", linewidth=1.0, linestyle="--")
y = 4.0+0*x
plt.plot(x,y,color="grey", linewidth=1.0, linestyle="--")

# Create a plot of the cubic function y = -3*sin(x)/x + 4
x = np.linspace(0.001, 50.0, 1024, endpoint=True)
y = -3*np.sin(x)/x + 4
plt.plot(x,y,color="blue", linewidth=3.0, linestyle="-")

# Set labels
plt.xlim(0.0,50.0)
plt.ylim(0.0,6.0)

# Move the spines
ax = plt.gca()
ax.axhspan(3.9, 4.1, facecolor="yellow", alpha=0.5, linewidth=0)
ax.text(2, 5.0, r'$f(x)=\frac{-3\,\sin(x)}{x}+4$', fontsize=24)
ax.text(45, 0.2, r'$x$', fontsize=24)
ax.text(45, 3.6, r'$2\varepsilon$', fontsize=24)

# Set up the spines
ax.spines['right'].set_color('none')
ax.spines['top'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))

# Save the figure to the output SVG file
plt.savefig("Limit_Infinity_SVG.svg", bbox_inches="tight")
plt.show()

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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26 July 2013

38,671 byte

620 pixel

600 pixel

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3bdf317ec7d7203738f48ec16f92ae9e9e3f0074

File history

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Date/TimeThumbnailDimensionsUserComment
current15:26, 6 September 2016Thumbnail for version as of 15:26, 6 September 2016600 × 620 (38 KB)Nicoguaro* Update pylab import. * Make sin function text roman typeface. * Add transparency to the box.
10:24, 26 July 2013Thumbnail for version as of 10:24, 26 July 2013720 × 720 (39 KB)IkamusumeFanModify the function for better display.
10:15, 26 July 2013Thumbnail for version as of 10:15, 26 July 2013720 × 720 (40 KB)IkamusumeFanUser created page with UploadWizard

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