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Diffstat (limited to 'src/input/constant.input.pamphlet')
-rw-r--r-- | src/input/constant.input.pamphlet | 70 |
1 files changed, 70 insertions, 0 deletions
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} |