dim(TriaSystem) -- dimension of a triangular set

Synopsis

• Function: dim

• Usage:

  dim T

  codim T

• Inputs:
  • T, an instance of the type TriaSystem,
• Outputs:
  • an integer, dimension of the zero set of T

Description

i1 : R = QQ[a,b,c,d,e,f,g,h, MonomialOrder=>Lex];

i2 : F = {a*d - b*c, c*f - d*e, e*h - f*g};

i3 : T = triaSystem(R,F)

o3 = {a*d - b*c, c*f - d*e, e*h - f*g} / {d, f, h}

o3 : TriaSystem

i4 : dim T

o4 = 5

Caveat

See also

• TriaSystem -- a triangular system
• isRegularChain -- whether a triangular set is a regular chain