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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/input/expexpan.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\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}