This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.

# MonomialList

 MonomialList[poly]gives the list of all monomials in the polynomial poly. MonomialList[poly, {x1, x2, ...}] gives the list of monomials with respect to the variables xi in poly. MonomialList[poly, {x1, x2, ...}, order]puts the monomials in the specified order.
• MonomialList works whether or not poly is explicitly given in expanded form.
• Possible settings for order are "Lexicographic", "DegreeLexicographic", "DegreeReverseLexicographic", "NegativeLexicographic", "NegativeDegreeLexicographic", "NegativeDegreeReverseLexicographic" or an explicit weight matrix.
• Monomials are sorted on the basis of their exponent vectors with respect to the variables xi.
• "NegativeLexicographic" corresponds to applying Sort to the list of exponent vectors.
• "Lexicographic" gives the reverse of "NegativeLexicographic", and is the default for MonomialList.
• "DegreeLexicographic" sorts first with respect to total degree, then by using the ordering defined by "Lexicographic".
• "DegreeReverseLexicographic" sorts first with respect to total degree, then in the negative lexicographic order by starting from the last variable.
• "NegativeDegreeLexicographic" and "NegativeDegreeReverseLexicographic" sort from lower to higher total degree.
• An explicit weight matrix w defines an ordering given by "Lexicographic" ordering of the w.vi, where the vi are the exponent vectors.
Get the list of monomials:
Get the list of monomials:
 Out[1]=
 Scope   (1)
Use "DegreeLexicographic" monomial ordering:
Specify the same ordering using weight matrix:
 Options   (1)
Reduce the coefficients modulo 2:
Plus or Total reconstructs the original polynomial:
CoefficientRules gives a different representation:
Obtain "NegativeDegreeReverseLexicographic" from "DegreeLexicographic":
The list given by Variables[poly] is not always sorted:
New in 7