From ab8cc85adde879fb963c94d15675783f2cf4b183 Mon Sep 17 00:00:00 2001
From: dos-reis <gdr@axiomatics.org>
Date: Tue, 14 Aug 2007 05:14:52 +0000
Subject: Initial population.

---
 src/input/constant.input.pamphlet | 70 +++++++++++++++++++++++++++++++++++++++
 1 file changed, 70 insertions(+)
 create mode 100644 src/input/constant.input.pamphlet

(limited to 'src/input/constant.input.pamphlet')

diff --git a/src/input/constant.input.pamphlet b/src/input/constant.input.pamphlet
new file mode 100644
index 00000000..5e65ce10
--- /dev/null
+++ b/src/input/constant.input.pamphlet
@@ -0,0 +1,70 @@
+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input constant.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1996.
+@
+<<*>>=
+<<license>>
+)clear all
+-- knuth volume 2 p596 tables of numerical quantities
+digits(42)
+outputSpacing(5)
+numeric(sqrt(2))
+numeric(sqrt(3))
+numeric(sqrt(5))
+numeric(sqrt(10))
+numeric(2**(1/3))
+numeric(3**(1/3))
+numeric(2**(1/4))
+numeric(log(2))
+numeric(log(3))
+numeric(log(10))
+numeric(1/log(2))
+numeric(1/log(10))
+numeric(%pi)
+numeric(%pi/180)
+numeric(1/%pi)
+numeric(%pi**2)
+numeric(sqrt(%pi))
+numeric(Gamma(1/2))
+numeric(Gamma(1/3))
+numeric(Gamma(2/3))
+numeric(%e)
+numeric(1/%e)
+numeric(%e**2)
+-- this we don't have. it is the difference of the harmonic series and
+-- the natural log (e.g. limit 1+1/2+...1/m-log(m))
+-- this converges slowly, essentially giving 1 more decimal place per
+-- power of 10 in the sum.
+gamma:=numeric(sum(1/x,x=1..10000)-log(10000))
+numeric(log(%pi))
+-- this we don't have. it is the golden ratio (1 + sqrt(5))/2
+phi:=(1+sqrt(5))/2
+numeric(phi)
+-- gamma isn't the right to any reasonable precision above. reset it.
+gamma:=0.5772156649015328606065120900824024310422
+numeric(%e**gamma)
+numeric(%e**(%pi/4))
+numeric(sin(1))
+numeric(cos(1))
+-- this we don't have. it is the zeta function
+-- numeric(zeta(3))
+numeric(log(phi))
+numeric(1/log(phi))
+numeric(-log(log(2)))
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
-- 
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