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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/fns.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input fns.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+<<*>>=
+
+-- Input for page ExampleFunctions
+)clear all
+
+odd(i) == 2*i - 1
+[odd(i) for i in 1..10]
+odd == i +-> 2*i - 1
+odd(1111)
+[i for i in 2.. | prime? i]
+primes := /
+primes == [p := nextPrime(i = 0 => 2; p) for i in 1..]
+primes
+primes(20)
+firstPrimes(n) == [primes(i) for i in 1..n]
+firstPrimes(25)
+primesLessThan(n) == [p for p in primes while p < n]
+primesLessThan 1000
+isPrime? n == reduce(or,[n = p for p in primes while n <= p])
+isPrime?(1111)
+twins := [p,p+2 for p in primes | prime?(p+2)]
+twins := [p, p+2 for i in 1.. | (p := primes(i)) + 2 = primes(i+1)]
+firsts := [p for i in 1.. | (p := primes(i)) + 2 = primes(i+1)]
+twins := [p, p + 2 for p in firsts]
+twins(i) ==firsts(i),2 + firsts(i)
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}