Image:Bernoulli polynomials.svg

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Graph of the Bernoulli polynomials.

Original artwork by Linas Vepstas <linas@linas.org>

[edit] Image generation info

Created with gnuplot using the directions

set term svg
set out 'bern.svg'

set data style lines
set key bottom right
set xzeroaxis linetype -1 linewidth 2
set yzeroaxis linetype -1 linewidth 2
set xtics axis
set ytics axis

# set xrange [-0.5:1.5] 
set xrange [-1:2]
unset border

set title "Bernoulli polynomials"

plot (x-0.5) title "B_1" with lines linewidth 2, \
    (x*x-x+1/6) title "B_2" with lines linewidth 2, \
    (x**3-3*x*x/2+x/2) title "B_3" with lines linewidth 2, \
    (x**4 - 2*x**3 + x*x - 1/30) title "B_4" with lines linewidth 2, \
    (x**5 - 5*(x**4)/2 + 5*(x**3)/3 - x/6) title "B_5" with lines linewidth 2, \
    (x**6 - 3*(x**5) + 5*(x**4)/2 - (x*x)/2 + 1/42) title "B_6" with lines linewidth 2

[edit] Licensing

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. Subject to disclaimers.

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