File:Continuous in x and y but non continuous.png
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Summary
[edit]| Description |
English: 3D plop of the bivariable function
This function is continuous in x and y both and respectively, but overall non continuous.
Français : Représentation en 3D de la fonction de deux variables
Cette fonction est continue par rapport à x et y respectivement, mais n'est pas continue. |
| Date | |
| Source |
Own work This plot was created with Matplotlib. |
| Author | TomT0m |
Figure generated by the python script :
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
def plop(X, Y):
if X>=1 and X>Y and Y>=0 :
return (Y/X)-Y
elif Y>=1 and Y>X and X>=0 :
return (X/Y)-X
elif X==Y and Y>0:
return 1-X
else:
return 0
def plop_py(func):
fig = plt.figure()
ax = fig.gca(projection='3d')
myfunc = np.vectorize(func)
x = fig.gca(projection='3d')
X = np.arange(-1, 10, 0.05)
Y = np.arange(-1, 10, 0.05)
X, Y = np.meshgrid(X, Y)
Z = myfunc(X,Y)
surf = ax.plot_surface(X, Y, Z, rstride=2, cstride=1,
cmap=cm.gist_heat,
linewidth=0, antialiased=False, shade=False)
plt.show()
plop_py(plop)
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I, the copyright holder of this work, hereby publish it under the following license:
 
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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/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:08, 14 December 2016 | | 1,228 × 941 (114 KB) | TomT0m (talk | contribs) | {{Information |Description ={{en|1=3D plop of the bivariable function <math> f(x,y)= \begin{cases}. This function is continuous in x and y both and respectively, but overall non continuous \frac{y}{x}-y & \text{if } 1 \geq x > y \geq 0 \\ \frac{x}{y... |
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