alright, just did so.
Oliver
On Mon, Jun 09, 2008 at 07:39:48PM -0500, Barton Willis wrote:
> If you haven't already, please file a bug report. Bugs reported just on the
> list
> have a way of getting lost.
>
>
> Barton
>
> -----maxima-bounces at math.utexas.edu wrote: -----
>
> >To: maxima at math.utexas.edu
> >From: Oliver Kullmann <O.Kullmann at swansea.ac.uk>
> >Sent by: maxima-bounces at math.utexas.edu
> >Date: 06/07/2008 01:01PM
> >Subject: bugs with integer_partitions
> >
> >Hi,
> >
> >(%i2) integer_partitions(0);
> >(%o2) {}
> >
> >which is wrong: it must be {[]}.
> >
> >The documentation of integer_partitions correctly states
> >
> >"A list [a_1, ..., a_m] is a partition of a nonnegative integer n
> > when (1) each a_i is a nonzero integer, and (2) a_1 + ... + a_m =
> > n."
> >
> >Unfortunately, then follows:
> >
> >"Thus 0 has no partitions."
> >
> >while obviously from the definition it follows that [] is the unique
> >partition of 0.
> >
> >The partition function p(n), which counts the number of
> >partitions of n, is accordingly defined as p(0) = 1.
> >
> >See any book on number theory, or e.g.
> >http://en.wikipedia.org/wiki/Partition_(number_theory).
> >Or see http://www.research.att.com/~njas/sequences/A000041.
> >(For example, S_0 is the trivial group, the same as S_1,
> >and thus p(0) = p(1) = 1.)
> >
> >Another bug: The documentation states that n is an integer.
> >However:
> >
> >(%i4) integer_partitions(-1);
> >(%o4) int_partitions(-1)
> >
> >The value is {} for negative n. The corrected integer_partition is
> >
> >corrected_integer_partitions(n) :=
> > if n < 0 then {}
> > elseif n = 0 then {[]}
> > else integer_partitions(n)$
> >
> >Oliver
> >_______________________________________________
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> >Maxima at math.utexas.edu
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