ApCoCoA-1:NCo.BMultiply

NCo.BMultiply

Multiplication of two polynomials in a free monoid ring over the binary field F_{2}={0,1}.

Syntax

NCo.BMultiply(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 multiplication, respectively. 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 LIST which represents the polynomial equal to F1*F2.

Example

NCo.SetX(<quotes>xX</quotes>);
NCo.SetOrdering(<quotes>LLEX</quotes>);
F1:=[<quotes>xX</quotes>,<quotes></quotes>];
F2:=[<quotes>Xx</quotes>,<quotes></quotes>];
NCo.BMultiply(F1,F2);
[<quotes>xXXx</quotes>, <quotes>xX</quotes>, <quotes>Xx</quotes>, <quotes></quotes>]
-------------------------------
NCo.BMultiply(F2,F1);
[<quotes>XxxX</quotes>, <quotes>xX</quotes>, <quotes>Xx</quotes>, <quotes></quotes>]
-------------------------------
NCo.BMultiply([],F1);
[ ]
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See also

NCo.SetOrdering

NCo.SetX

Introduction to CoCoAServer