File:Csch sech coth.svg

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

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

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

10 March 2016

File history

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Date/TimeThumbnailDimensionsUserComment
current01:20, 11 March 2016Thumbnail for version as of 01:20, 11 March 2016504 × 504 (18 KB)wikimediacommons>FylwindTry again to fix the clipping problem

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