File:Riemann Integration and Darboux Upper Sums.gif

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Riemann_Integration_and_Darboux_Upper_Sums.gif(800 × 600 pixels, file size: 536 KB, MIME type: image/gif, looped, 8 frames, 6.4 s)

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Summary

Description
English: This function is y=x^2.
Date
Source

Own work

 
This plot was created with Matplotlib.
Author IkamusumeFan

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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.

Matplotlib (Python)

# Author: Ika, 2013-09-15

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
# Plot the curve and area.
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")

# Generate the files for the sums.
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);
	x=interval;
	while (x<2+interval/2.0):
		verts = [(x-interval,0)]+[(x-interval,x*x)]+[(x,x*x)]+[(x,0)];
		poly = Polygon(verts, facecolor='blue', alpha=0.5,edgecolor='black')
		ax.add_patch(poly)
		x=x+interval;

	plt.savefig("frame00"+str(ord)+".jpg");
	
	ord = ord+1;

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15 September 2013

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Date/TimeThumbnailDimensionsUserComment
current00:06, 15 September 2013Thumbnail for version as of 00:06, 15 September 2013800 × 600 (536 KB)IkamusumeFanUser created page with UploadWizard

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