Description
homogenize(m,v) -- homogenize the ring element, vector, matrix, or module
m using the variable
v in the ring of
m.
homogenize(m,v,w) -- homogenize
m using the variable
v, so that the result is homogeneous with respect to the given list
w of integers provided as weights for the variables.
i1 : R = ZZ/101[x,y,z,Degrees => {1,2,3}]
o1 = R
o1 : PolynomialRing
|
i2 : f = 1 + y + z^2
2
o2 = z + y + 1
o2 : R
|
i3 : homogenize(f,x)
6 4 2
o3 = x + x y + z
o3 : R
|
i4 : homogenize(f,x,{1,0,-1})
2 2
o4 = x z + y + 1
o4 : R
|
The weights that may be used are limited (roughly) to the range -2^30 .. 2^30.