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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/expexpan.input.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/input/expexpan.input.pamphlet')
-rw-r--r-- | src/input/expexpan.input.pamphlet | 55 |
1 files changed, 55 insertions, 0 deletions
diff --git a/src/input/expexpan.input.pamphlet b/src/input/expexpan.input.pamphlet new file mode 100644 index 00000000..1cbd30bd --- /dev/null +++ b/src/input/expexpan.input.pamphlet @@ -0,0 +1,55 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input expexpan.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited MCMXCII. +@ +<<*>>= +<<license>> + +--% ExponentialExpansion +-- We compute exponential expansions and right hand limits. +-- Author: Clifton J. Williamson +-- Date Created: 27 August 1992 +-- Date Last Updated: 27 August 1992 +-- Keywords: Exponential expansion, limit, right-hand limit +-- References: + +xxp f == exprToXXP(f,true)$FS2EXPXP(INT,EXPR INT,x,0) + +f1 := (a**2 + 1) * exp(1/x**3 + 2/x**2) - exp(b) * exp(1/x**3 + 3/x**2) +x1 := xxp f1 +limitPlus x1 -- %minusInfinity + +f2 := (a**2 + 1) * exp(1/x**3 + 2/x**2) - exp(b) * exp(-1/x**3 + 3/x**2) +x2 := xxp f2 +limitPlus x2 -- %plusInfinity + +f3 := (a**2 + 1) * exp(1/x**3) - exp(b) * exp(c/x**2) +x3 := xxp f3 +limitPlus x3 -- %plusInfinity + +f4 := (a**2 + 1) * exp(-1/x**3) - exp(b) * exp(c/x**2) +x4 := xxp f4 +limitPlus x4 -- "failed" + +p5 := tan(x) * exp(1/x**2) - tan(x) * exp(1/x**2 - 1/x) + sin(x) * exp(1/x) +q5 := -4 * exp(-1/x**2 - 1/x) + sin(x) * exp(-1/x**2 + 1/x) +f5 := p5 / q5 +x5 := xxp f5 +limitPlus x5 -- %plusInfinity +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |