Synopsis
- Usage:
- random(d,R)
- Inputs:
- Outputs:
- a random homogeneous element of the ring R of degree d
i5 : R = ZZ[x,y];
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i6 : random(5,R)
5 4 3 2 2 3 4 5
o6 = 4x + 7x y + x y + 3x y + 7x*y + 3y
o6 : R
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i7 : R = GF(25,Variable=>a)[x,y];
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i8 : VerticalList for i to 6 list random(3,R)
{ 3 2 2 3 }
o8 = {(2a - 2)x + x y - 2a*x*y - 2a*y }
{ 2 2 3 }
{2x y + (- 2a + 2)x*y + (a - 2)y }
{ 3 2 2 3 }
{(- 2a - 1)x + (a - 2)x y + (a + 2)x*y + (2a - 2)y }
{ 3 2 2 3 }
{(a - 1)x + 2x y + 2a*x*y + (- 2a + 2)y }
{ 3 2 2 3 }
{2x + (2a - 1)x y + 2a*x*y + (a - 2)y }
{ 3 2 2 3 }
{(- 2a + 1)x + (a - 2)x y - 2x*y - 2y }
{ 3 2 2 3}
{(2a - 1)x + (- a - 1)x y + (- a + 2)x*y + (- 2a + 1)y }
o8 : VerticalList
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The length of
d, if it's a list, should be the same as
degreeLength R.