File:Mplwp legendreP26a2.svg

Original file (SVG file, nominally 600 × 400 pixels, file size: 49 KB)

Summary

Description
English: Plot of the first five associated Legendre polynomials with m=2 in the interval [-1, 1].
Date
Source Own work
Author Geek3
SVG development
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This plot was created with mplwp, the Matplotlib extension for Wikipedia plots.
Source code
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mplwp source code

The plot was generated with mplwp 1.7
#!/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_legendreP26a2.svg'
fig = mplwp.fig_standard(mpl)

xlim = -1,1; fig.gca().set_xlim(xlim)
ylim = -15,23; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())

from scipy.special import lpmv

m = 2
for l in range(m, 6+1):
    x = np.linspace(xlim[0], xlim[1], 5001)
    y = [lpmv(m, l, xx) for xx in x]
    plt.plot(x, y, zorder=-l, label='P'
        + mplwp.unicode_sub(l) + mplwp.unicode_super('(' + str(m) + ')'))

plt.legend(loc='upper center', ncol=3, borderaxespad=0.5)

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


Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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You are free:
  • to share – to copy, distribute and transmit the work
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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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12 February 2018

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Date/TimeThumbnailDimensionsUserComment
current23:32, 11 February 2018Thumbnail for version as of 23:32, 11 February 2018600 × 400 (49 KB)Geek3User created page with UploadWizard

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