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PART::Part2Exp -- multiplicities of parts in a given partition

Call(s)


PART::Part2Exp(part <,n>)

Parameters

part- a partition

Options

n- an integer

Introduction

The PART::Part2Exp function is the inverse function of Exp2Part.

The PART::Part2Exp function gives the multiplicities of the parts of the partition part, the result being also known as the exponential notation of part.

The exponential notation of a partition is a vector of positive integers that indicates the number of occurrences a part appears in the partition.

When called with a second argument n, it returns the same list augmented with some zeros representing the number of occurrences of the integers from the maximal part of the partition up to m in the partition.

Example 1

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

Related Functions

Exp2Part

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MuPAD Combinat, an open source algebraic combinatorics package