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Summary

DescriptionComplex arcsin abs 01 Pengo.svg abs(arcsin(z))
Date
Source

Own work

Based on File:Complex sine.svg by Dave Farrance
Author Pengo
Other versions

sin-1(z):

see also: File:Complex sin abs 01 Pengo.svg
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

#!/usr/bin/env python

"""This generates four graphs for arcsin(z)."""
# Original: Peter Halasz. 2010年09月14日
# Enhanced: Ika. 2013年07月23日
 
importnumpyasnp
frompylabimport *
frommpl_toolkits.mplot3dimport Axes3D
 
graphs = {'abs':abs, 'real':real, 'imag':imag, 'angle':angle}
 
for gr in graphs:
 ax = Axes3D(figure(), azim = -135, elev = 45)
 X = arange(-2*pi, 2*pi, pi/12)
 Y = arange(-4, 4, .2)
 X, Y = meshgrid(X, Y)
 fn = graphs[gr]
 Z = fn(arcsin(X + Y*1j)) # abs, real, imag, angle. angle range [-pi, pi]
 ax.plot_surface(X, Y, Z, rstride = 1, cstride = 1, cmap = cm.jet)
 ax.contour(X, Y, Z, zdir='z', offset=np.min(Z))
 ax.set_xlabel("x")
 ax.set_ylabel("y")
 ax.set_zlabel(gr + '(sin(x+iy))')
 plt.savefig("complex_arcsin_" + gr + "_01_Pengo.svg")

Licensing

Public domainPublic domainfalsefalse
[画像: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.

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Date/TimeThumbnailDimensionsUserComment
current05:00, 24 July 2013 Thumbnail for version as of 05:00, 24 July 2013 720 ×ばつ 540 (864 KB)IkamusumeFan Add X-Y contour.
09:46, 14 September 2010 Thumbnail for version as of 09:46, 14 September 2010 720 ×ばつ 540 (852 KB)Pengo {{Information |Description=abs(arcsin(z)) |Source={{own}} |Date=2010年09月14日 |Author= Pengo |Permission=see below |other_versions= }} Category:Sine function

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Height432pt

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