ApCoCoA-1:NC.Deg: Difference between revisions
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Please set ring | Please set non-commutative polynomial ring (via the command <ref>Use</ref>) before calling this function. For more information, please check the relevant commands and functions. | ||
<itemize> | <itemize> | ||
<item>@param <em>F</em>: a polynomial | <item>@param <em>F</em>: 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 <tt>f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5</tt> is represented as F:=[[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]. The zero polynomial <tt>0</tt> is represented as the empty LIST [].</item> | ||
<item>@return: an INT which represents the | <item>@return: an INT which represents the standard degree of F. Note that the standard degree of <tt>0</tt> is 0. </item> | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
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</description> | </description> | ||
<seealso> | <seealso> | ||
<see> | <see>Use</see> | ||
</seealso> | </seealso> | ||
<types> | <types> | ||
Revision as of 18:12, 25 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
