/usr/share/axiom-20120501/input/erf.input is in axiom-test 20120501-8.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 | )set break resume
)spool erf.output
)set message test on
)set message auto off
)clear all
--S 1 of 4
i:=integrate(exp(-a^2*p^2),p=b..c)
--R
--R +---+
--R (erf(a c) - erf(a b))\|%pi
--R (1) ---------------------------
--R 2a
--R Type: Union(f1: OrderedCompletion(Expression(Integer)),...)
--E 1
--S 2 of 4
eval(i,[erf(a*c)=1,erf(a*b)=0])
--R
--R +---+
--R \|%pi
--R (2) ------
--R 2a
--R Type: Expression(Integer)
--E 2
--S 3 of 4
intrule:=rule integral(exp(-a*p^2),p) == sqrt(%pi)/sqrt(a)
--R
--R p 2 +---+
--R ++ - %I a \|%pi
--R (3) | %e d%I == ------
--R ++ +-+
--R \|a
--R Type: RewriteRule(Integer,Integer,Expression(Integer))
--E 3
--S 4 of 4
intrule integral(exp(-a*p^2),p)
--R
--R +---+
--R \|%pi
--R (4) ------
--R +-+
--R \|a
--R Type: Expression(Integer)
--E 4
)spool
)lisp (bye)
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