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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/series2.input.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/input/series2.input.pamphlet')
-rw-r--r-- | src/input/series2.input.pamphlet | 95 |
1 files changed, 95 insertions, 0 deletions
diff --git a/src/input/series2.input.pamphlet b/src/input/series2.input.pamphlet new file mode 100644 index 00000000..4239789b --- /dev/null +++ b/src/input/series2.input.pamphlet @@ -0,0 +1,95 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input series2.input} +\author{Clifton J. Williamson} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited 1994. +@ +<<*>>= +<<license>> + +--% Expression To Power Series +-- We compute series expansions of various functions using EXPR2UPS and STTF. +-- Author: Clifton J. Williamson +-- Date Created: 12 August 1992 +-- Date Last Updated: 12 August 1992 +-- Keywords: Taylor series +-- References: + +-- Power series expansions around branch points +-- (Well not really, since we have x**2, not x. Otherwise, our series +-- expansions would have fractional powers.) + +f1 := taylor(1 - x**2,x = 0) + +asin f1 +sin % + +acos f1 +cos % + +f2 := taylor(1 + x**2,x = 0) + +acsc f2 +csc % + +asec f2 +sec % + +f3 := taylor(1 - (x - a)**2,x = a) + +asin f3 +sin % + +acos f3 +cos % + +f4 := taylor(1 + (x - a)**2,x = a) + +acsc f4 +csc % + +asec f4 +sec % + +f5 := taylor(%i + x**2,x = 0) + +asinh f5 +map(normalize,sinh %) + +acosh f1 +map(normalize,cosh %) + +asech f2 +sech % + +acsch f1 +map(normalize,csch %) + +f6 := taylor(%i + (x - a)**2,x = a) + +asinh f6 +map(normalize,sinh %) + +acosh f3 +map(normalize,cosh %) + +asech f4 +sech % + +acsch f3 +map(normalize,csch %) +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |