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> |
--001a114267f0cb23b0052506b6cb Content-Type: multipart/alternative; boundary=001a114267f0cb23aa052506b6c9 --001a114267f0cb23aa052506b6c9 Content-Type: text/plain; charset=UTF-8 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 -- [image: http://www.facebook.com/alasdair.mcandrew] <http://www.facebook.com/alasdair.mcandrew> [image: https://plus.google.com/+AlasdairMcAndrew/posts] <https://plus.google.com/+AlasdairMcAndrew/posts> [image: https://www.linkedin.com/pub/alasdair-mcandrew/a/178/108] <https://www.linkedin.com/pub/alasdair-mcandrew/a/178/108> [image: https://twitter.com/amca01] <https://twitter.com/amca01> [image: http://numbersandshapes.net] <http://numbersandshapes.net> --001a114267f0cb23aa052506b6c9 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable <div dir=3D"ltr"><div><div><div><div>Over the last few days, when I should = have been doing other things, I've been programming up a few combinator= ial algorithms, to supplement those already in the system.=C2=A0 I'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= "></a> <a href=3D"https://plus.google.com/+AlasdairMcAndrew/posts" target= =3D"_blank"><img alt=3D"https://plus.google.com/+AlasdairMcAndrew/posts" sr= c=3D"https://dl.dropboxusercontent.com/u/2796170/f-gplus_256-48.png"></a> <= a 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