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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/laplace.input.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/input/laplace.input.pamphlet')
-rw-r--r-- | src/input/laplace.input.pamphlet | 59 |
1 files changed, 59 insertions, 0 deletions
diff --git a/src/input/laplace.input.pamphlet b/src/input/laplace.input.pamphlet new file mode 100644 index 00000000..07b072a2 --- /dev/null +++ b/src/input/laplace.input.pamphlet @@ -0,0 +1,59 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input laplace.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited 1994. +@ +<<*>>= +<<license>> + +-- some laplace transforms + +)cl all +f n == t**(n-1)*exp(-a*t)/factorial(n-1) + +-- L(f n) is 1/(s+a)^n +f 2 +laplace(%, t, s) +f 5 +laplace(%, t, s) +sin(a*t) - a*t*cos(a*t) +laplace(%, t, s) +(cosh(a*t) - cos(a*t))/(2*a**2) +laplace(%, t, s) +exp(-a*t) * sin(b*t) / b**2 +laplace(%, t, s) +sin(a*t) * cosh(a*t) - cos(a*t) * sinh(a*t) +laplace(%, t, s) +(exp(a*t) - exp(b*t))/t +laplace(%, t, s) +2/t * (1 - cosh(a*t)) +laplace(%, t, s) +2/t * (1 - cos(a*t)) +laplace(%, t, s) +(cos(a*t) - cos(b*t))/t +laplace(%, t, s) +-- we handle some very limited form of special functions +a*Ci(b*t) + c*Si(d*t) +laplace(%, t, s) +exp(a*t+b)*Ei(c*t) +laplace(%, t, s) +-- we keep unknown transforms as formal transform in the answer +sin(a*t) - a*t*cos(a*t) + exp(t**2) +laplace(%, t, s) + +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |