ApCoCoA-1:NCo.BSubtract
NCo.BSubtract
Subtraction of two polynomials in a free monoid ring over the binary field F_{2}={0,1}.
Syntax
NCo.BSubtract(F1:LIST, F2:LIST):LIST
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 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 F1, F2: two polynomials in the free monoid ring F_{2}<X>, 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 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 F_{2}.
Example
NCo.SetX(<quotes>xX</quotes>); NCo.SetOrdering(<quotes>LLEX</quotes>); F1:=[<quotes>xX</quotes>,<quotes></quotes>]; F2:=[<quotes>Xx</quotes>,<quotes></quotes>]; NCo.BSubtract(F1,F2); [<quotes>xX</quotes>, <quotes>Xx</quotes>] ------------------------------- NCo.BSubtract(F1,F1); [ ] ------------------------------- NCo.BSubtract([],F1); [<quotes>xX</quotes>, <quotes></quotes>] -------------------------------
See also
