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BUILT-IN MATHEMATICA SYMBOL
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 
in poly.
MonomialList[poly, {x1, x2, ...}, order]
puts the monomials in the specified order.
Details and Options
- MonomialList works whether or not poly is explicitly given in expanded form.
- MonomialList[poly] is equivalent to MonomialList[poly, Variables[poly]].
- 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. - MonomialList[poly, vars, Modulus->m] computes the coefficients modulo m.
- MonomialList[poly, All, order] is equivalent to MonomialList[poly, Variables[poly], order].
New in 7
