#17818: Interface to FindStat
-------------------------------------+-------------------------------------
Reporter: mantepse | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.6
Component: interfaces | Resolution:
Keywords: FindStat | Merged in:
Authors: Martin Rubey | Reviewers:
Report Upstream: N/A | Work issues:
Branch: public/findstat- | Commit:
interface | ce07ce4d0cb545a054f6b4878ce349119d18d901
Dependencies: | Stopgaps:
-------------------------------------+-------------------------------------
Description changed by mantepse:
Old description:
> Sage should have an interface to FindStat, the "combinatorial statistics
> finder". A first version, modelled after the interface to the OEIS is
> attached. To get you started, you can try the following:
>
> {{{
> sage: findstat('St000045') # optional -- internet
> St000045: The number of linear extensions of the tree.
>
> sage: s = findstat(3); s # optional --
> internet
> St000003: The number of [[/StandardTableaux|standard Young tableaux]]
> of the partition.
>
> sage: s.browse()
>
> sage: stat = {pi: pi.length() for pi in Permutations(3)}
> sage: search = findstat(stat) ; search # optional -- internet
> 0: (St000018: The [[/Permutations/Inversions|number of inversions]]
> of a permutation., [], 6)
> 1: (St000004: The [[/Permutations/Descents-Major|major index]] of a
> permutation., ['inversion-number to major-index bijection'], 6)
> 2: (St000067: The inversion number of the alternating sign matrix.,
> ['to alternating sign matrix'], 6)
> 3: (St000224: The sorting index of a permutation., ['first
> fundamental transformation'], 6)
> 4: (St000008: The major index of the composition., ['inversion-number
> to major-index bijection', 'descent composition'], 6)
> 5: (St000059: The inversion number of a standard Young tableau as
> defined by Haglund and Stevens. [1] , ['inversion-number to major-index
> bijection', 'Robinson-Schensted recording tableau'], 6)
> 6: (St000153: The number of adjacent cycles of a permutation.,
> ['reverse', 'first fundamental transformation'], 6)
> 7: (St000156: The Denert index of a permutation., ['inverse first
> fundamental transformation', 'foata_bijection'], 6)
> 8: (St000174: The flush statistic on semistandard tableaux., ['to
> alternating sign matrix', 'to semistandard tableau'], 6)
> }}}
New description:
Sage should have an interface to http://www.findstat.org, the
"combinatorial statistics finder". A first version, modelled after the
interface to the OEIS is attached. To get you started, you can try the
following:
{{{
sage: findstat('St000045') # optional -- internet
St000045: The number of linear extensions of the tree.
sage: s = findstat(3); s # optional --
internet
St000003: The number of [[/StandardTableaux|standard Young tableaux]]
of the partition.
sage: s.browse()
sage: stat = {pi: pi.length() for pi in Permutations(3)}
sage: search = findstat(stat) ; search # optional -- internet
0: (St000018: The [[/Permutations/Inversions|number of inversions]] of
a permutation., [], 6)
1: (St000004: The [[/Permutations/Descents-Major|major index]] of a
permutation., ['inversion-number to major-index bijection'], 6)
2: (St000067: The inversion number of the alternating sign matrix.,
['to alternating sign matrix'], 6)
3: (St000224: The sorting index of a permutation., ['first fundamental
transformation'], 6)
4: (St000008: The major index of the composition., ['inversion-number
to major-index bijection', 'descent composition'], 6)
5: (St000059: The inversion number of a standard Young tableau as
defined by Haglund and Stevens. [1] , ['inversion-number to major-index
bijection', 'Robinson-Schensted recording tableau'], 6)
6: (St000153: The number of adjacent cycles of a permutation.,
['reverse', 'first fundamental transformation'], 6)
7: (St000156: The Denert index of a permutation., ['inverse first
fundamental transformation', 'foata_bijection'], 6)
8: (St000174: The flush statistic on semistandard tableaux., ['to
alternating sign matrix', 'to semistandard tableau'], 6)
}}}
--
--
Ticket URL: <http://trac.sagemath.org/ticket/17818#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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