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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/intheory.input.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/input/intheory.input.pamphlet')
-rw-r--r-- | src/input/intheory.input.pamphlet | 45 |
1 files changed, 45 insertions, 0 deletions
diff --git a/src/input/intheory.input.pamphlet b/src/input/intheory.input.pamphlet new file mode 100644 index 00000000..f2e60eb7 --- /dev/null +++ b/src/input/intheory.input.pamphlet @@ -0,0 +1,45 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input INTHEORY.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +<<*>>= + + +-- Input generated from IntegerNumberTheoryFunctionsXmpPage +)clear all + +div144 := divisors(144) +#(div144) +reduce(+,div144) +numberOfDivisors(144) +sumOfDivisors(144) +f1(n) == reduce(+,[moebiusMu(d) * numberOfDivisors(quo(n,d)) for d in divisors(n)]) +f1(200) +f1(846) +f2(n) == reduce(+,[moebiusMu(d) * sumOfDivisors(quo(n,d)) for d in divisors(n)]) +f2(200) +f2(846) +fibonacci(25) +[fibonacci(n) for n in 1..15] +fib(n) == reduce(+,[binomial(n-1-k,k) for k in 0..quo(n-1,2)]) +fib(25) +[fib(n) for n in 1..15] +legendre(3,5) +legendre(23,691) +h(d) == quo(reduce(+, [jacobi(d,k) for k in 1..quo(-d, 2)]), 2 - jacobi(d,2)) +h(-163) +h(-499) +h(-1832) +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |