leadCoefficient -- the coefficient of the leading term

Synopsis

• Usage:

  leadCoefficient f

• Inputs:
  • f, a ring element, a polynomial
• Outputs:
  • a ring element, an element of the coefficientRing of the ring of f

Description

i1 : R = ZZ/5[a,b,c]; f = a*b^2 + 3*b*c^3 + 2;

i3 : leadCoefficient f

o3 = -2

     ZZ
o3 : --
      5

i4 : S = ZZ/5[a,b,c, MonomialOrder => Lex]; g = a*b^2 +3*b*c^3 + 2;

i6 : leadCoefficient g

o6 = 1

     ZZ
o6 : --
      5

See also

• coefficients -- monomials and their coefficients
• coefficientRing -- get the coefficient ring
• leadComponent -- the leading component(s) of a vector or matrix
• leadMonomial -- the leading monomial of a ring element
• leadTerm -- get the greatest term
• someTerms -- select some terms of a polynomial
• terms -- provide a list of terms of a polynomial