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MonomialList

MonomialList[poly]
gives the list of all monomials in the polynomial poly.
MonomialList
gives the list of monomials with respect to the variables in poly.
MonomialList
puts the monomials in the specified order.
  • MonomialList works whether or not poly is explicitly given in expanded form.
  • Possible settings for order are , , , , , , or an explicit weight matrix.
  • Monomials are sorted on the basis of their exponent vectors with respect to the variables .
  • corresponds to applying Sort to the list of exponent vectors.
  • gives the reverse of , and is the default for MonomialList.
  • sorts first with respect to total degree, then by using the ordering defined by .
  • sorts first with respect to total degree, then in the negative lexicographic order by starting from the last variable.
  • and sort from lower to higher total degree.
  • An explicit weight matrix w defines an ordering given by ordering of the , where the are the exponent vectors.
Get the list of monomials:
Get the list of monomials:
In[1]:=
Click for copyable input
Out[1]=
Use monomial ordering:
Specify the same ordering using a weight matrix:
Reduce the coefficients modulo 2:
Plus or Total reconstructs the original polynomial:
CoefficientRules gives a different representation:
Obtain from :
The list given by Variables[poly] is not always sorted:
New in 7