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 = 5x + 5x y + 9x y + 4x y + 9x*y + 7y
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 3 }
o8 = {2x + (- a + 1)x*y + (2a - 1)y }
{ 3 2 3 }
{a*x + 2a*x*y + (- a + 2)y }
{ 3 2 2 3 }
{(a + 2)x + (a + 2)x y + x*y + (- a - 2)y }
{ 3 2 2 3 }
{- 2a*x + (- 2a - 2)x y + (2a - 1)x*y - a*y }
{ 3 2 2 3}
{2a*x + (- 2a + 1)x y + (- 2a + 2)x*y + (- a - 2)y }
{ 3 2 3 }
{- 2x - a*x y + a*y }
{ 3 2 2 3 }
{- 2a*x + (2a + 2)x y - 2x*y - y }
o8 : VerticalList
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The length of
d, if it's a list, should be the same as
degreeLength R.