File:Csch sech coth.svg

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Original file ‎(SVG file, nominally 504 × 504 pixels, file size: 18 KB)

Summary

Description

The hyperbolic cosecant (red), hyperbolic secant (green) and hyperbolic cotangent (blue) graphed on the same axes.

Replaces Csch sech coth.png.

Instructions
Generated with en:Matplotlib using the script below. Edited using en:Inkscape to fix clipping issues.
Date
Source Own work
Author Fylwind at English Wikipedia
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 numpy as np
import matplotlib.pyplot as plt

def clip(ys, limit):
    return np.ma.masked_where(np.abs(ys) > limit, ys)

lim = 8
size = 5.6
fig, ax = plt.subplots(figsize=(size, size))
xs = np.linspace(-lim, lim, 1000)
ax.plot(xs, clip(1 / np.sinh(xs), lim * 2), label="y = csch(x)",
        color="#b30000", linestyle="-", linewidth=2)
ax.plot(xs, 1 / np.cosh(xs), label="y = sech(x)",
        color="#00b300", linestyle="--", linewidth=2)
ax.plot(xs, clip(1 / np.tanh(xs), lim * 2), label="y = coth(x)",
        color="#0000b3", linestyle="-.", linewidth=2)
ax.set_xlim(-lim, lim)
ax.set_ylim(-lim, lim)
ax.set_xticks([-1, 0, 1])
ax.set_yticks([-1, 0, 1])
ax.set_xlabel("x")
ax.set_ylabel("y")
ax.grid("on")
ax.legend(loc="lower right")
fig.tight_layout()
fig.savefig("csch_sech_coth.svg", transparent=True)

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

(All user names refer to en.wikipedia)

  • 2006-03-14 10:38 Ktims 1600×1200×0 (10563 bytes) The hyperbolic cosecant (red), hyperbolic secant (green) and hyperbolic cotangent (blue) graphed on the same axes.
  • 2006-03-14 10:35 Ktims 1600×1200×0 (13176 bytes) The hyperbolic cosecant (red), hyperbolic secant (green) and hyperbolic cotangent (blue) graphed on the same axes.

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depicts

inception

10 March 2016

File history

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Date/TimeThumbnailDimensionsUserComment
current23:20, 10 March 2016Thumbnail for version as of 23:20, 10 March 2016504 × 504 (18 KB)FylwindTry again to fix the clipping problem
23:03, 10 March 2016Thumbnail for version as of 23:03, 10 March 2016504 × 504 (31 KB)FylwindTry to fix SVG clipping bug
22:53, 10 March 2016Thumbnail for version as of 22:53, 10 March 2016504 × 504 (22 KB)FylwindMake the asymptotic behavior more evident from the graph.
00:38, 6 February 2007Thumbnail for version as of 00:38, 6 February 20071,600 × 1,200 (15 KB)Alejo2083dashed lines
00:33, 6 February 2007Thumbnail for version as of 00:33, 6 February 20071,600 × 1,200 (10 KB)Alejo2083{{Information |Description=The hyperbolic cosecant (red), hyperbolic secant (green) and hyperbolic cotangent (blue) graphed on the same axes. Replaces en::Image:Csch_sech_coth.png. == Instructions == Generated with en:gnuplot using the script

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