Difference between revisions of "ApCoCoA-1:NC.Deg"
From ApCoCoAWiki
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</itemize> | </itemize> | ||
<example> | <example> | ||
| − | + | USE QQ[x[1..2],y[1..2]]; | |
| − | + | F1:= [[2x[1],x[2]], [13y[2]], [5]]; -- 2x[1]x[2]+13y[2]+5 | |
| − | NC.Deg( | + | NC.Deg(F1); |
| − | + | ||
| + | 2 | ||
------------------------------- | ------------------------------- | ||
| − | NC.Deg([]); | + | NC.Deg([]); |
| + | |||
0 | 0 | ||
------------------------------- | ------------------------------- | ||
Revision as of 17:42, 3 May 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
USE QQ[x[1..2],y[1..2]]; F1:= [[2x[1],x[2]], [13y[2]], [5]]; -- 2x[1]x[2]+13y[2]+5 NC.Deg(F1); 2 ------------------------------- NC.Deg([]); 0 -------------------------------
See also
