# Difference between revisions of "ApCoCoA-1:NC.Deg"

Line 20: | Line 20: | ||

NC.Deg(F); | NC.Deg(F); | ||

3 | 3 | ||

− | |||

------------------------------- | ------------------------------- | ||

NC.Deg([]); -- 0 polynomial | NC.Deg([]); -- 0 polynomial | ||

0 | 0 | ||

− | |||

------------------------------- | ------------------------------- | ||

</example> | </example> |

## Revision as of 15:39, 8 June 2012

## NC.Deg

(Standard) degree of a polynomial in a free monoid ring.

### Syntax

NC.Deg(F:LIST):INT

### Description

*Please note:* The function(s) explained on this page is/are using the *ApCoCoAServer*. You will have to start the ApCoCoAServer in order to use it/them.

Please set ring environment *coefficient field* `K`, *alphabet* (or set of indeterminates) `X` and *ordering* via the functions NC.SetFp, NC.SetX and NC.SetOrdering, respectively, before calling the function. The default coefficient field is `Q`. The default ordering is length-lexicographic ordering ("LLEX"). For more information, please check the relevant functions.

@param

*F*: a polynomial in`K<X>`. Each polynomial is represented as a LIST of monomials, which are pairs of the form [C, W] where W is a word in`<X>`and C is the coefficient of W. For example, the polynomial`F=xy-y+1`is represented as F:=[[1,"xy"], [-1, "y"], [1,""]]. The zero polynomial`0`is represented as the empty LIST [].@return: an INT which represents the (standard) degree of F. If

`F=0`, the function returns`0`.

#### Example

NC.SetX(<quotes>abc</quotes>); F:=[[1,<quotes>ab</quotes>],[2,<quotes>aa</quotes>],[3,<quotes>bb</quotes>],[4,<quotes>bab</quotes>]]; NC.Deg(F); 3 ------------------------------- NC.Deg([]); -- 0 polynomial 0 -------------------------------

### See also