File:Complex arcsin abs 01 Pengo.svg

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Summary

Description 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. 2010-09-14
# Enhanced: Ika. 2013-07-23
 
import numpy as np
from pylab import *
from mpl_toolkits.mplot3d import 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 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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14 September 2010

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10ad644891735db9490530695caedea36b2aaf25

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540 pixel

720 pixel

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Date/TimeThumbnailDimensionsUserComment
current05:00, 24 July 2013Thumbnail for version as of 05:00, 24 July 2013720 × 540 (864 KB)IkamusumeFanAdd X-Y contour.
09:46, 14 September 2010Thumbnail for version as of 09:46, 14 September 2010720 × 540 (852 KB)Pengo{{Information |Description=abs(arcsin(z)) |Source={{own}} |Date=2010-09-14 |Author= Pengo |Permission=see below |other_versions= }} Category:Sine function
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