Combinatorics in PanAxiom

Alasdair McAndrew <[email protected]> Sat, 21 Nov 2015 17:00:50 +1100
Newsgroups gmane.comp.mathematics.axiom.user
Message-ID <CAPGiC75LxKw2pVJoLXuYycvgY_+14TMCqfxB6fPqYfo208xv-A@mail.gmail.com>
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Over the last few days, when I should have been doing other things, I've
been programming up a few combinatorial algorithms, to supplement those
already in the system.  I've programmed as a sort of proof-of-concept in
the interactive language.

The functions include generators for powersets, subsets, set partitions,
permutations and derangements (of sets and multisets), and the numbers
involved.

So attached are two files: combinatorics.input, which contains the
programs, and combinatorics.pdf, which describes the functions.

If anybody is interested in (a) testing them, (b) rewriting these in spad,
or (c) adding to them, let me know!

-Alasdair

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<div dir=3D"ltr"><div><div><div><div>Over the last few days, when I should =
have been doing other things, I&#39;ve been programming up a few combinator=
ial algorithms, to supplement those already in the system.=C2=A0 I&#39;ve p=
rogrammed as a sort of proof-of-concept in the interactive language.<br><br=
></div>The functions include generators for powersets, subsets, set partiti=
ons, permutations and derangements (of sets and multisets), and the numbers=
 involved.<br><br></div>So attached are two files: combinatorics.input, whi=
ch contains the programs, and combinatorics.pdf, which describes the functi=
ons.<br><br></div>If anybody is interested in (a) testing them, (b) rewriti=
ng these in spad, or (c) adding to them, let me know!=C2=A0 <br><br></div>-=
Alasdair<br clear=3D"all"><div><div><div><div><div><br>-- <br><div class=3D=
"gmail_signature"><div dir=3D"ltr"><a href=3D"http://www.facebook.com/alasd=
air.mcandrew" target=3D"_blank"><img alt=3D"http://www.facebook.com/alasdai=
r.mcandrew" src=3D"https://dl.dropboxusercontent.com/u/2796170/facebook.png=
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c=3D"https://dl.dropboxusercontent.com/u/2796170/f-gplus_256-48.png"></a> <=
a href=3D"https://www.linkedin.com/pub/alasdair-mcandrew/a/178/108" target=
=3D"_blank"><img alt=3D"https://www.linkedin.com/pub/alasdair-mcandrew/a/17=
8/108" src=3D"https://dl.dropboxusercontent.com/u/2796170/linkedin.png"></a=
> <a href=3D"https://twitter.com/amca01" target=3D"_blank"><img alt=3D"http=
s://twitter.com/amca01" src=3D"https://dl.dropboxusercontent.com/u/2796170/=
twitter.png"></a> <a href=3D"http://numbersandshapes.net" target=3D"_blank"=
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ent.com/u/2796170/wordpress.png"></a><br></div></div>
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