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Stavros Macrakis and I (= we) have released a new version (1.2.03) of Maxima nset.
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Maxima nset has about 35 user-level functions supporting
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finite sets, combinatorics, and number theory.
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Stavros Macrakis and Barton Willis
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http://www.unk.edu/acad/math/people/willisb/nset-1.2.tar.gz
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Will it work with my Maxima?
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We've tested Maxima nset using GCL and Windows and cmucl and Linux.
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A few things in nset do not work with commercial Macsyma; other than
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that, we don't know of any Lisp / Maxima combinations that won't
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As we find bugs, we'll make 1.2.x releases. For Maxima 5.9.1, we
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recommend that nset 1.2.x replace version nset 1.0. If possible,
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we recommend that all other set packages be expunged or placed in
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an out-of-the way place. Additionally, we recommend nset be placed
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in /share/combinatorics or in a newly created
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/share/combinatorics/nset directory.
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What's new in Maxima nset version 1.2.0:
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(0) We've replaced some algorithms (permutations for one) with
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(1) We've added about twenty new functions: moebius, disjoin,
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divisors, makeset, some, every, reduce, multinomial_coeff, belln,
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stirling1, stirling2, kron_delta, num_partitions,
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num_distinct_partitions, integer_partitions, rreduce,
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lreduce, xreduce, set_partitions, tree_reduce.
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(2) updated user documentation,
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(3) expanded testing code (test-nset.mac),
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(4) removed the function dupe -- the functions makelist and makeset
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(5) removed the function subpowerset and combined its functionality
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into powerset (using an optional second argument),
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(6) added note in user documentation about how to allow set input via
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braces (a requested addition),
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(7) changed cartesian_product to take zero or more arguments; previously
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it required one or more arguments,
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(8) the third argument to extremal_subset must now be either max or min;
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the third argument no longer has a default value,
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(9) flatten no longer has a special trap for exponentiation,
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(10) changed the name of setequality to setequalp.
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(11) symmdifference now takes zero or more arguments and returns a
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set of members that are members of exactly one argument. This may
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not be the only nary extension of a two-argument symmdifference, but
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it's the most reasonable.
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(12) Deleted function complement -- we don't have a universal set,
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so we can't really do the complement only a relative complement.
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And setdifference(a,b) is a less confusing way to do complement(b,a).
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Here is a tour of some of the new Maxima nset functions.
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(C2) makeset(i/j,[i,j],cartesian_product(l,l));
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(D2) {-, -, -, 1, -, 2, 3}
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(D4) {1, 2, 4, 7, 14, 28}
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(C6) every(primep,d4);
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(C7) integer_partitions(4);
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(D7) {[1, 1, 1, 1], [1, 1, 2], [1, 3], [2, 2], [4]}
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(C8) set_partitions(set(a,b));
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(D8) {{{a}, {b}}, {{a, b}}}
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(C9) num_partitions(4);
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(C10) num_distinct_partitions(4);
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(C11) num_partitions(2003);
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(D11) 5137130903316893622770745464235084139384928426
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(D12) 5.137130903316894B45
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(C13) kron_delta(a,b);
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(D13) KRON_DELTA(a, b)
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(C15) makelist(belln(i),i,0,6);
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(D15) [1, 1, 2, 5, 15, 52, 203]
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(C16) cardinality(set_partitions(set(1,2,3,4,5,6)));
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Of course, send bug reports and wish list items to the Maxima nset authors.
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share/contrib/nset/announce-1.2.txt
