PART::ListPartIn --
list of partitions contained into a given partition or
between two given partitions
Call(s)
PART::ListPartIn(part <,partin> <,options>)
Parameterspart, partin | - | any lists denoting partitions |
n | - | any non negative integer |
Optionsweight=w | - | weight of listed partitions is w |
nb | - | only counts objects |
Use the syntax hold(identifier), instead of identifier,
if one of the identifiers above is already defined.
IntroductionThe PART::ListPartIn function gives all partitions contained into the
diagram of a given partition. The list is ordered by increasing
length.
Called with a second argument Partin, the function returns
the list of all partitions contained into the diagram of
part and containing the diagram of partin.
Example 1>> muEC::PART::ListPartIn( [3,1] );
[[], [1], [2], [3], [1, 1], [2, 1], [3, 1]]
>> muEC::PART::ListPartIn( [3,2,1], [2,1,1] );
[[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 2, 1]]
>> muEC::PART::ListPartIn( [4,3,2], weight=6 );
[[4, 2], [3, 3], [4, 1, 1], [3, 2, 1], [2, 2, 2]]
>> muEC::PART::ListPartIn( [40,30,15,10,8,7,5,3,1], nb );
9631414
Related FunctionsListPart, ListSkewDiag, TYP::IsPart
MuPAD Combinat, an open source algebraic combinatorics package