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
