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# polylib::sortMonomials

Sorting monomials with respect to a term ordering

### Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

## Syntax

```polylib::sortMonomials(f)
polylib::sortMonomials(f, vars)
polylib::sortMonomials(f, ord)
polylib::sortMonomials(f, vars, ord)
```

## Description

polylib::sortMonomials(f, ord) returns a list of all monomials constituting the polynomial f, sorted in descending order with respect to ord.

A monomial ordering may be: one of the identifiers LexOrder, DegreeOrder, DegInvLexOrder; or an object of type Dom::MonomOrdering or convertible to that type; or any object returning a number when called as ord(m1,m2) for two degree vectors m1 and m2. A degree vector is a list of integers, as returned by degreevec.

If no order is given, the lexikographical order is used.

If no list of variables is given, all indeterminates of f are used.

Given two degree vectors, m1 is considered to be greater than m2 if and only if ord(m1,m2) is positive.

## Examples

### Example 1

The monomials of the polynomial below are compared using a monomial ordering from Dom::MonomOrdering .

`polylib::sortMonomials(poly(x^2+x*y^3+2, [x,y]), DegRevLex(2))`

## Parameters

 f Polynomial or polynomial expression vars Nonempty list of identifiers ord Monomial ordering

## Return Values

List of polynomials or expressions of the same type as f.