File:Expinvsqlau SVG.svg
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Original file (SVG file, nominally 720 × 540 pixels, file size: 43 KB)
Summary
| Description |
English: The graph opposite shows e−1/x2 in black and its Laurent approximations for N = 1, 2, 3, 4, 5, 6, 7 and 50. |
| Date | |
| Source | Own work |
| Author | IkamusumeFan |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python code# Author: Ika, 2013-08-24
import math as m
import numpy as np
import matplotlib.pyplot as plt
import scipy.special as sp
import random
plt.figure()
plt.axes([0.02,0.13,0.9,0.8])
plt.hold(True)
Q = []
# Draw the function curves.
X = np.arange(-3, 3, 0.001)
i=1
Y = 1+(-1)**i*(X**(-2*i))/m.factorial(i)
a = plt.plot(X, Y, '-', color='#b30000', lw=4)
Q.append(a)
i=2
Y = Y+(-1)**i*(X**(-2*i))/m.factorial(i)
a = plt.plot(X, Y, '-', color='#00b300', lw=4)
Q.append(a)
i=3
Y = Y+(-1)**i*(X**(-2*i))/m.factorial(i)
a = plt.plot(X, Y, '-', color='#0000b3', lw=4)
Q.append(a)
i=4
Y = Y+(-1)**i*(X**(-2*i))/m.factorial(i)
a = plt.plot(X, Y, '-', color='#b3b300', lw=4)
Q.append(a)
i=5
Y = Y+(-1)**i*(X**(-2*i))/m.factorial(i)
a = plt.plot(X, Y, '-', color='#00b3b3', lw=4)
Q.append(a)
i=6
Y = Y+(-1)**i*(X**(-2*i))/m.factorial(i)
a = plt.plot(X, Y, '-', color='#b300b3', lw=4)
Q.append(a)
i=7
Y = Y+(-1)**i*(X**(-2*i))/m.factorial(i)
a = plt.plot(X, Y, '-', color='#b3b3b3', lw=4)
Q.append(a)
while (i<50):
i=i+1
Y = Y+(-1)**i*(X**(-2*i))/m.factorial(i)
a = plt.plot(X, Y, '-', color='#33b300', lw=4)
Q.append(a)
Y = np.exp(-1/(X*X))
a = plt.plot(X, Y, '-', color='black', lw=4)
Q.append(a)
plt.xlim(-3,3)
plt.ylim(-2,4)
# Set up the spines
ax = plt.gca()
ax.spines['right'].set_color('none')
ax.spines['top'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))
plt.savefig("Expinvsqlau_SVG.svg")
|
Licensing
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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:15, 25 August 2013 | | 720 × 540 (43 KB) | wikimediacommons>IkamusumeFan | The previous edition did not take the term whose n=0 into the sum, leading to the failure of approximation. |
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