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The leading coefficient of a non-zero polynomial in a free monoid ring over the binary field F_{2}={0,1}.
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 non-zero polynomial in the free monoid ring F_{2}. Each polynomial is represented as a LIST of words (or terms) in . 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 leading coefficient of F with respect to the current word ordering. Actually, the function returns 0 if F=0 and returns 1 otherwise.
NCo.SetX("xX");
NCo.SetOrdering("LLEX");
F1:=["xX",""];
NCo.BLC(F1);
1
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NCo.BLC([]);
0
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