# ApCoCoA-1:NCo.BDeg

## NCo.BDeg

The standard degree of a polynomial in a free monoid ring over the binary field F_{2}={0,1}.

### Syntax

NCo.BDeg(F:LIST):INT

### Description

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

@param

*F:*a polynomial in the free monoid ring`F_{2}<X>`. Each polynomial is represented as a LIST of words (or terms) in`<X>`. Each word is represented as a STRING. For example,`xy^2x`is represented as "xyyx", and the identity is represented as the empty string "". Thus, the polynomial`F=xy-y+1`is represented as F:=["xy", "y", ""]. The zero polynomial`0`is represented as the empty LIST [].@return: a INT which represents the standard degree of F. If F=0, the function returns

`0`.

#### Example

NCo.SetX(<quotes>xX</quotes>); NCo.SetOrdering(<quotes>LLEX</quotes>); F1:=[<quotes>xX</quotes>,<quotes></quotes>]; NCo.BDeg(F1); 2 ------------------------------- NCo.BDeg([]); 0 -------------------------------

### See also