monomials -- matrix of monomials in a ring element or matrix

Synopsis

• Usage:

  monomials f

• Inputs:
  • f, either a Matrix or a RingElement
• Optional inputs:
  • Variables => ..., default value null, specify variables
• Outputs:
  • a matrix, a one row matrix in the same ring with all of the monomials that appear in f

Description

i1 : R = ZZ[a..d,x,y];

i2 : m = matrix{{a*x^2+b*x*y+c*y^2, a*x^3+b*x^2*y+c*x*y^2+d*y^3+a*x^2}}

o2 = | ax2+bxy+cy2 ax3+bx2y+cxy2+dy3+ax2 |

             1      2
o2 : Matrix R  <-- R

i3 : monomials m

o3 = | ax3 bx2y cxy2 dy3 ax2 bxy cy2 |

             1      7
o3 : Matrix R  <-- R

i4 : monomials(m, Variables=>{x,y})

o4 = | x3 x2y xy2 y3 x2 xy y2 |

             1      7
o4 : Matrix R  <-- R

See also

• coefficients -- monomials and their coefficients