Jump to content

File:Mplwp legendreQ04.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (SVG file, nominally 600 × 400 pixels, file size: 34 KB)

Summary

Description
English: Plot of the first five Legendre polynomials of second kind in the interval [-1, 1]:
Date
Source Own work
Author Geek3
Other versions
SVG development
InfoField
 
The SVG code is valid.
 
This plot was created with mplwp, the Matplotlib extension for Wikipedia plots.
Source code
InfoField

mplwp source code

The plot was generated with mplwp 1.0
#!/usr/bin/python
# -*- coding: utf8 -*-

import matplotlib.pyplot as plt
import matplotlib as mpl
import numpy as np
from math import *

code_website = 'http://commons.wikimedia.org/wiki/User:Geek3/mplwp'
try:
    import mplwp
except ImportError, er:
    print 'ImportError:', er
    print 'You need to download mplwp.py from', code_website
    exit(1)

name = 'mplwp_legendreQ04.svg'
fig = mplwp.fig_standard(mpl)

xlim = -1,1; fig.gca().set_xlim(xlim)
ylim = -1.6,1.6; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())

from scipy.special import lqn

for l in range(4 + 1):
    f = lambda x: lqn(l, x)[0][l]
    x = np.linspace(xlim[0], xlim[1], 5001)
    y = [f(xx) for xx in x]
    plt.plot(x, y, label='Q' + mplwp.unicode_sub(l))

mpl.rc('legend', borderaxespad=0.8)
plt.legend(loc='upper center', ncol=3).get_frame().set_alpha(0.9)

plt.savefig(name)
mplwp.postprocess(name)

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 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.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

13 April 2014

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current12:38, 24 June 2021Thumbnail for version as of 12:38, 24 June 2021600 × 400 (34 KB)Geek3Reverted to version as of 11:44, 13 April 2014 (UTC). Please upload the differently styled version as a new file.
00:02, 3 December 2020Thumbnail for version as of 00:02, 3 December 2020540 × 360 (40 KB)AkanoToERemoved extra border space
00:00, 3 December 2020Thumbnail for version as of 00:00, 3 December 2020540 × 360 (39 KB)AkanoToEChanged fonts to LaTeX for better formatting
11:44, 13 April 2014Thumbnail for version as of 11:44, 13 April 2014600 × 400 (34 KB)Geek3legendreQ04 plot by Geek3

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata