File:Division of x pow 2 times y pow 2 by x the sum of pow 4 and y pow 2 towards 0.png

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Original file(1,325 × 1,117 pixels, file size: 331 KB, MIME type: image/png)

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Description
English: 3D plot of the function towards the origin with projections of the curve on the xz and yz plan. The lines of the projections are bluest the nearest they are to zero)
Français : Représentation 3D de la fonction vers l'origine, munie de projections sur les plans xz et yz. Les lignes de la projection sont de plus en plus bleues à mesure que ce sont des projections de la courbe proches de zéro.
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This plot was created with Matplotlib.
Author TomT0m

Generated with matplotlib with the following python code :

from mpl_toolkits.mplot3d import Axes3D
from matplotlib import cm
from matplotlib.ticker import LinearLocator, FormatStrFormatter
import matplotlib.pyplot as plt
import numpy as np
 
fig = plt.figure()
ax = fig.gca(projection='3d')
X = np.arange(-.1, 2, 0.09)
Y = np.arange(-0.1, 2, 0.09)
X, Y = np.meshgrid(X, Y)
Z = (X**2 * Y**2)/(X**4+Y**2)
cset = ax.contour(X, Y, Z, zdir='y', offset=2, cmap=cm.seismic) 
cset = ax.contour(X, Y, Z, zdir='x', offset=-.1, cmap=cm.seismic) 
  
surf = ax.plot_surface(X, Y, Z, rstride=2, cstride=1,
                        cmap=cm.winter,
                        linewidth=0, antialiased=True, alpha=.5, shade=False)
 
plt.show()

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Date/TimeThumbnailDimensionsUserComment
current14:14, 14 December 2016Thumbnail for version as of 14:14, 14 December 20161,325 × 1,117 (331 KB)TomT0m (talk | contribs)Smaller size to avoid unreadable labels, changed perspective to avoid overlap or the shape with itself
14:03, 14 December 2016Thumbnail for version as of 14:03, 14 December 20162,400 × 1,261 (348 KB)TomT0m (talk | contribs){{Information |Description ={{en|1=3D plot of the function <math>f(x,y) = \frac{x^2y}{x^4+y^2}</math> towards the origin with projections of the curve on the xz and yz plan. The lines of the projections are bluest the nearest they are to zero)}} {{f...

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