Difference between revisions of "ApCoCoA-1:NC.Deg"
| Line 37: | Line 37: | ||
<see>NC.LT</see> | <see>NC.LT</see> | ||
<see>NC.LTIdeal</see> | <see>NC.LTIdeal</see> | ||
| + | <see>NC.MRAdd</see> | ||
| + | <see>NC.MRBP</see> | ||
| + | <see>NC.MRIntersection</see> | ||
| + | <see>NC.MRKernelOfHomomorphism</see> | ||
| + | <see>NC.MRMinimalPolynomials</see> | ||
| + | <see>NC.MRMultiply</see> | ||
| + | <see>NC.MRReducedBP</see> | ||
| + | <see>NC.MRSubtract</see> | ||
<see>NC.MinimalPolynomial</see> | <see>NC.MinimalPolynomial</see> | ||
<see>NC.Multiply</see> | <see>NC.Multiply</see> | ||
<see>NC.NR</see> | <see>NC.NR</see> | ||
| + | <see>NC.ReducedBP</see> | ||
| + | <see>NC.ReducedGB</see> | ||
<see>NC.SetFp</see> | <see>NC.SetFp</see> | ||
<see>NC.SetOrdering</see> | <see>NC.SetOrdering</see> | ||
| Line 51: | Line 61: | ||
<see>NC.UnsetRules</see> | <see>NC.UnsetRules</see> | ||
<see>NC.UnsetX</see> | <see>NC.UnsetX</see> | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
<see>Introduction to CoCoAServer</see> | <see>Introduction to CoCoAServer</see> | ||
</seealso> | </seealso> | ||
Revision as of 12:31, 12 October 2010
NC.Deg
(Standard) degree of a polynomial over a free associative K-algebra.
Syntax
NC.Deg(F:LIST):INT
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.
Before calling the function, please set ring environment alphabet X through the functions NC.SetX(X).
@param F: a polynomial in K<X>. Each polynomial in K<X> is represented as a LIST of LISTs, which are pairs of form [c, w] where c is in K and w is a word in X*. Unit in X* is empty word represented as an empty STRING "". 0 polynomial is represented as an empty LIST []. For example, polynomial F:=xy-y+1 in K<x,y> is represented as F:=[[1,"xy"], [-1, "y"], [1,""]].
@return: a INT which is (standard) degree F. If F=0, then return 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
