degree(CoincidentRootLocus) -- compute the degree

Synopsis

• 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