THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

DOCUMENTATION CENTER SEARCH

Mathematica > Mathematics and Algorithms > Polynomial Algebra > CoefficientRules >

BUILT-IN MATHEMATICA SYMBOL

CoefficientRules

gives the list

of exponent vectors and coefficients for the monomials in poly with respect to the

gives the result with the monomial ordering specified by order.

CoefficientRules works whether or not poly is explicitly given in expanded form.

Get exponents and coefficients of monomials:

Out[1]=

Use

monomial ordering:

Specify the same ordering using weight matrix:

Reduce the coefficients modulo 2:

FromCoefficientRules reconstructs the original polynomial:

MonomialList gives a different representation:

For two variables

and

coincide:

The list given by Variables[poly] is not always sorted:

Visualize monomial orderings in 2D:

The standard built-in orderings:

In 2D some orderings cannot be distinguished:

Visualize monomial orderings in 3D:

In 3D all orderings are distinct: