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 OptionsDetails 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].

## ExamplesExamplesopen allclose all

### Basic Examples (1)Basic Examples (1)

Get the list of monomials:

 Out[1]=

## TutorialsTutorials

New in 7
New to Mathematica? Find your learning path »
Have a question? Ask support »