natural: 
if 
for the lexicographic ordering, where 
is the list of partial sums defined by 
.
lexic: 
if for the lexicographic ordering.
cixel: 
if for the inverse lexicographic ordering.
muEC::PART::PartOrderMat – order matrix on partitions
Compute the order matrix on all partitions of a mgiven size
The muEC::PART::PartOrderMat function gives the order matrix on all partitions of ListPart(n).
The considered ordering is given by the second argument kind:
natural: if for the lexicographic ordering, where is the list of partial sums defined by .
lexic: if for the lexicographic ordering.
cixel: if for the inverse lexicographic ordering.
Without a third argument, the comparison is assumed to be natural.
The inverse matrix for this order is known as the Moebius matrix.
Call:
muEC::PART::PartOrderMat(n, <order>)
Parameters:
|
n: |
an integer |
Related Functions:
muEC::PART::CompPart, muEC::PART::ListPart
muEC::PART::PartOrderMat( 6 );
Dom::Matrix()( % )^(-1);
muEC::PART::PartOrderMat( 4, cixel );
