FUNCTION: IsRegPart - test whether the argument is a n-regular partition

CALLING SEQUENCE:

IsRegPart(n, part)

TYP[IsRegPart](n, part)

PARAMETERS:

n = an integer

part = a partition

SYNOPSIS:

• The IsRegPart function tests whether part is a n-regular partition, that is a partition such that the difference between two consecutive parts of its conjugate partition is less than n-1.

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

EXAMPLES:

> with(TYP):
> Part2Conjugate([3, 3, 2, 2, 1, 1]);
 
                                   [6, 4, 2]
 
> IsRegPart(2, [3, 3, 2, 2, 1, 1]);
 
                                    false
 
> IsRegPart(3, [3, 3, 2, 2, 1, 1]);
 
                                     true