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author | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
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committer | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
commit | ab8cc85adde879fb963c94d15675783f2cf4b183 (patch) | |
tree | c202482327f474583b750b2c45dedfc4e4312b1d /src/input/bernpoly.input.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/input/bernpoly.input.pamphlet')
-rw-r--r-- | src/input/bernpoly.input.pamphlet | 36 |
1 files changed, 36 insertions, 0 deletions
diff --git a/src/input/bernpoly.input.pamphlet b/src/input/bernpoly.input.pamphlet new file mode 100644 index 00000000..f2db3a16 --- /dev/null +++ b/src/input/bernpoly.input.pamphlet @@ -0,0 +1,36 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input bernpoly.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited 1994. +@ +<<*>>= +<<license>> +-- the first 10 Bernoulli polynomials (Approximate Calculation of Integrals +-- by V. Krylov Macmillan 1962 p13) +draw(1,x=0..1) +draw(x-(1/2),x=0..1) +draw(x**2-x+(1/6),x=0..1) +draw(x**3-(3/2)*x**2+(1/2)*x,x=0..1) +draw(x**4-2*x**3+x**2-(1/30),x=0..1) +draw(x**5-(5/2)*x**4+(5/3)*x**3-(1/6)*x,x=0..1) +draw(x**6-3*x**5+(5/2)*x**4-(1/2)*x**2+(1/42),x=0..1) +draw(x**7-(7/2)*x**6+(7/2)*x**5-(7/6)*x**3+(1/6)*x,x=0..1) +draw(x**8-4*x**7+(14/3)*x**6-(7/3)*x**4+(2/3)*x**2-(1/30),x=0..1) +draw(x**9-(9/2)*x**8+6*x**7-(21/5)*x**5+2*x**3-(3/10)*x,x=0..1) +draw(x**10-5*x**9+(15/2)*x**8-7*x**6+5*x**4-(3/2)*x**2+(5/66),x=0..1) +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |