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TYP::IsRegPart -- tests whether the argument is a n-regular partition

Call(s)


TYP::IsRegPart(n)
TYP::IsRegPart(part)

Parameters

n- a positive integer
expr- a partition

Introduction

The TYP::IsRegPart function tests whether expr is a n-regular partition, that is a partition such that it has no part repeated more than n-1 times, or equivalently, if the difference between any two consecutive parts of the conjugate partition are strictly less than n.

Example 1

>> muEC::PART::Part2Conjugate( [3, 3, 2, 2, 1, 1] );
                                 [6, 4, 2]
>> muEC::TYP::IsRegPart( 2, [3, 3, 2, 2, 1, 1] );
                                   FALSE
>> muEC::TYP::IsRegPart( 3, [3, 3, 2, 2, 1, 1] );
                                   TRUE

Related Functions

PART::Part2Conjugate, PART::ListPart, IsPart

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MuPAD Combinat, an open source algebraic combinatorics package