degree(CoincidentRootLocus) -- compute the degree

Function: degree
Usage:

degree X
Inputs:
- X, a coincident root locus
Outputs:
- an integer, the degree of X as a projective variety

Description

The formula for the degree of a coincident root locus $X$ associated with a partition $\lambda=(\lambda_1,\ldots,\lambda_d)$ was determined in the paper by D. Hilbert - Singularitaten der Diskriminantenflache - Math. Ann. 30, 437-441, 1887.

i1 : X = coincidentRootLocus {3,2,2,1,1,1,1}

o1 = CRL(3,2,2,1,1,1,1)

o1 : Coincident root locus

i2 : degree X

o2 = 1260

Ways to use this method:

degree(CoincidentRootLocus) -- compute the degree

The source of this document is in CoincidentRootLoci/documentation.m2:46:0.