FUNCTION: Part2Exp - multiplicities of a given partition

CALLING SEQUENCE:

Part2Exp(part)

PART[Part2Exp](part)

Part2Exp(part,m)

PART[Part2Exp](part,m)

PARAMETERS:

part = any partition

m = any positive integer

SYNOPSIS:

• The Part2Exp function gives the multiplicities of the parts of the partition part.

• The multiplicities of a partition is the list of occurrences of positive integers in the partition, starting from 1 up to the maximal part.

• When called with a second argument m>nops(part), it returns the list of occurences of 1, 2, ..., m.

• Whenever there is a conflict between the function name Part2Exp and another name used in the same session, use the long form PART['Part2Exp'].

EXAMPLES:

> with(PART):
> Part2Exp([6,4,4,2,1]);
 
                               [1, 1, 0, 2, 0, 1]
 
> Part2Exp([6,4,4,2,1], 10);
 
                         [1, 1, 0, 2, 0, 1, 0, 0, 0, 0]