File:Mplwp inverse hyperbolic functions.svg

Original file(SVG file, nominally 600 × 400 pixels, file size: 37 KB)

Summary

Description
English: Plot of the inverse hyperbolic functions in the interval [-4, 4]:
• ${\displaystyle \operatorname {arsinh} (x)}$
• ${\displaystyle \operatorname {arcosh} (x)}$
• ${\displaystyle \operatorname {artanh} (x)}$
• ${\displaystyle \operatorname {arcoth} (x)}$
• ${\displaystyle \operatorname {arsech} (x)}$
• ${\displaystyle \operatorname {arcsch} (x)}$
Date
Source Own work
Author Geek3
Other versions
SVG development
 This plot was created with mplwp, the Matplotlib extension for Wikipedia plots.

Python mplwp source code

The plot was generated with mplwp 1.6
```#!/usr/bin/python
# -*- coding: utf8 -*-

import matplotlib.pyplot as plt
import matplotlib as mpl
import numpy as np
from math import *

code_website = 'http://commons.wikimedia.org/wiki/User:Geek3/mplwp'
try:
import mplwp
except ImportError, er:
print 'ImportError:', er
exit(1)

name = 'mplwp_inverse_hyperbolic functions.svg'
fig = mplwp.fig_standard(mpl)

xlim = -4,4; fig.gca().set_xlim(xlim)
ylim = -3,3; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())

x1 = np.linspace(xlim[0], xlim[1], 5001)
y1 = [asinh(xx) for xx in x1]
plt.plot(x1, y1, label='arsinh', zorder=-1)

y2 = np.linspace(0, acosh(xlim[1]), 5001)
x2 = [cosh(yy) for yy in y2]
plt.plot(x2, y2, label='arcosh', zorder=-3)
plt.plot(x2[0], y2[0], 'o', color=fig.gca().lines[-1].get_color(), zorder=-2)

y3 = np.linspace(ylim[0], ylim[1], 5001)
x3 = [tanh(yy) for yy in y3]
plt.plot(x3, y3, label='artanh', zorder=-4)

def coth(x): return 1.0 / tanh(x)
y4 = np.concatenate((np.linspace(atanh(1./xlim[0]), ylim[0], 3001),
[float('NaN')],
np.linspace(ylim[1], atanh(1./xlim[1]), 3001)))
x4 = [coth(yy) for yy in y4]
plt.plot(x4, y4, label='arcoth', zorder=-5)

def sech(x): return 1.0 / cosh(x)
y5 = np.linspace(0, ylim[1], 5001)
x5 = [sech(yy) for yy in y5]
plt.plot(x5, y5, label='arsech', zorder=-7)
plt.plot(x5[0], y5[0], 'o', color=fig.gca().lines[-1].get_color(), zorder=-6)

def acsch(x): return asinh(1./x)
x6 = np.concatenate((np.linspace(xlim[0], 1./sinh(ylim[0]), 4001),
[float('NaN')],
np.linspace(1./sinh(ylim[1]), xlim[1], 4001)))
y6 = [acsch(xx) for xx in x6]
plt.plot(x6, y6, label='arcsch', zorder=-8)

bbox_to_anchor=(0, 0.914)).get_frame().set_alpha(0.9)
plt.savefig(name)
mplwp.postprocess(name)
```

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
 Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
 This file is licensed under the Creative Commons Attribution 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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current15:29, 6 April 2015600 × 400 (37 KB)Geek3 (talk | contribs)zorder bugfix
13:46, 6 April 2015600 × 400 (37 KB)Geek3 (talk | contribs)with dots
13:27, 3 May 2014600 × 400 (37 KB)Geek3 (talk | contribs)update mplwp1.3 colors
14:24, 1 May 2014600 × 400 (37 KB)Geek3 (talk | contribs)inverse_hyperbolic_functions plot by Geek3
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