Difference between revisions of "ApCoCoA-1:NC.Deg"
From ApCoCoAWiki
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<title>NC.Deg</title> | <title>NC.Deg</title> | ||
<short_description> | <short_description> | ||
| − | The | + | The standard degree of a polynomial in a non-commutative polynomial ring. |
</short_description> | </short_description> | ||
<syntax> | <syntax> | ||
Revision as of 12:20, 26 April 2013
NC.Deg
The standard degree of a polynomial in a non-commutative polynomial ring.
Syntax
NC.Deg(F:LIST):INT
Description
Please set non-commutative polynomial ring (via the command Use) before calling this function. For more information, please check the relevant commands and functions.
@param F: a non-commutative polynomial. Each polynomial is represented as a LIST of LISTs, and each element in every inner LIST involves only one indeterminate or none (a constant). For example, the polynomial f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5 is represented as F:=[[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]. The zero polynomial 0 is represented as the empty LIST [].
@return: an INT which represents the standard degree of F. Note that the standard degree of 0 is 0.
Example
NC.SetX(<quotes>abc</quotes>); F:=[[1,<quotes>ab</quotes>],[2,<quotes>aa</quotes>],[3,<quotes>bb</quotes>],[4,<quotes>bab</quotes>]]; NC.Deg(F); 3 ------------------------------- NC.Deg([]); -- 0 polynomial 0 -------------------------------
See also
