File:Complex arcsin abs 01 Pengo.svg
Summary
| Description | abs(arcsin(z)) |
| Date | |
| Source |
Own work
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| Author | Pengo |
| Other versions |
sin-1(z):
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| SVG development | |
| Source code | 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")
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Licensing
 |
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. |
