File:Lebesgue Integration and Upper Sums.gif
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Lebesgue_Integration_and_Upper_Sums.gif (800 × 600 pixels, file size: 485 KB, MIME type: image/gif, looped, 8 frames, 6.4 s)
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Summary
[edit]DescriptionLebesgue Integration and Upper Sums.gif |
English: This function is y=x^2. |
Date | |
Source |
Own work This plot was created with Matplotlib. |
Author | IkamusumeFan |
Matplotlib (Python)
[edit]# Author: Ika, 2013-09-14
import numpy as np
import matplotlib.pyplot as plt
import scipy.special as sp
from matplotlib.patches import Polygon
import random
fig=plt.figure()
ax = fig.add_subplot(111)
ax.set_xlim(0,2)
ax.set_ylim(0,4)
X = np.arange(0,2.01,0.01)
Y = X*X
ax.plot(X, Y)
verts = [(0,0)] + zip(X,Y) + [(2,0)]
poly = Polygon(verts, facecolor='blue',alpha=0.5,edgecolor='blue')
ax.add_patch(poly)
plt.savefig("frame0100.jpg")
ord = 0;
while (ord<7):
plt.clf()
fig=plt.figure()
ax = fig.add_subplot(111)
interval = 1.0/(2**ord)
ax.set_xlim(0,2)
ax.set_ylim(0,4)
X = np.arange(0,2.01,0.01)
Y = X*X
ax.plot(X, Y)
ax.text(0.2,3.0,'Step=1/'+str(2**ord),size=36);
y=interval;
while (y<4+interval/2.0):
verts = [((y-interval)**0.5,y)]+[(2,y)]+[(2,y-interval)]+[((y-interval)**0.5,y-interval)];
poly = Polygon(verts, facecolor='blue', alpha=0.5,edgecolor='black')
ax.add_patch(poly)
y=y+interval;
plt.savefig("frame00"+str(ord)+".jpg");
ord = ord+1;
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 06:06, 15 September 2013 | 800 × 600 (485 KB) | IkamusumeFan (talk | contribs) | User created page with UploadWizard |
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