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Subtraction of two polynomials in a free monoid ring over
F2.
NC.GSubtract(F1:LIST, F2:LIST):LIST
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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
alphabet (or set of indeterminates)
X and
admissible ordering via the functions
NC.SetX and
NC.SetOrdering, respectively, before calling the function. The default ordering is length-lexicographic ordering ("LLEX"). For more information, please check the relevant functions.
- @param F1, F2: two polynomials in the free monoid ring F2, which are left and right operands of subtraction, respectively. Each polynomial is represented as a LIST of words (or terms). 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 in F2 is represented as F:=["xy", "y", ""]. The zero polynomial 0 is represented as the empty LIST [].
- @return: a LIST which represents the polynomial equal to F1-F2. Note that we have F1-F2=F2+F2 over F2.
NC.SetX("xX");
NC.SetOrdering("LLEX");
F1:=["xX",""];
F2:=["Xx",""];
NC.GSubtract(F1,F2);
["xX", "Xx"]
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NC.GSubtract(F1,F1);
[ ]
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NC.GSubtract([],F1);
["xX", ""]
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