leadTerm -- get the leading term

leadTerm -- get the leading term

leadTerm f -- return the leading term of the polynomial or vector f.
leadTerm m -- return the matrix of initial forms of the columns of the matrix m.
leadTerm(i,m) -- return the matrix of polynomials formed by retaining those monomials of each entry which agree on the first i weight vectors.

i1 : R = ZZ/101[a..d]



o1 = R



o1 : PolynomialRing

i2 : leadTerm (3 + 8*a^2*b + 7*b*c^2)



       2

o2 = 8a b



o2 : R

i3 : leadTerm matrix {{a,b},{c,d}}



o3 = | a b |

     | 0 0 |



             2       2

o3 : Matrix R  <--- R

i4 : leadTerm matrix {{c,d},{a,b}}



o4 = | 0 0 |

     | a b |



             2       2

o4 : Matrix R  <--- R

See also:

leadCoefficient -- the leading coefficient

leadMonomial -- the leading monomial

leadComponent -- the leading component of a vector

Ways to use leadTerm :

leadTerm(ZZ,Ideal)

leadTerm(ZZ,ZZ,Resolution)